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Finding the Third Proportional to 642,694 and 1,357,628

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Solution

The third proportional to 642,694 and 1,357,628 is: 2,867,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,694 : 1,357,628 = 1,357,628 : x
  2. Step 2: Convert to fraction form
    642,694/1,357,628 = 1,357,628/x
  3. Step 3: Cross multiply
    642,694x = 1,357,628 × 1,357,628
  4. Step 4: Simplify right side
    642,694x = 1,843,153,786,384
  5. Step 5: Solve for x
    x = 1,843,153,786,384/642,694
  6. Step 6: Final answer
    x = 2,867,855.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.