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Finding the Third Proportional to 626,663,099,418 and 940,657,927,167

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Solution

The third proportional to 626,663,099,418 and 940,657,927,167 is: 1,411,982,509,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,663,099,418 : 940,657,927,167 = 940,657,927,167 : x
  2. Step 2: Convert to fraction form
    626,663,099,418/940,657,927,167 = 940,657,927,167/x
  3. Step 3: Cross multiply
    626,663,099,418x = 940,657,927,167 × 940,657,927,167
  4. Step 4: Simplify right side
    626,663,099,418x = 884,837,335,942,117,011,226,624
  5. Step 5: Solve for x
    x = 884,837,335,942,117,011,226,624/626,663,099,418
  6. Step 6: Final answer
    x = 1,411,982,509,842.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.