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Finding the Third Proportional to 642,776 and 1,335,372

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Solution

The third proportional to 642,776 and 1,335,372 is: 2,774,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,776 : 1,335,372 = 1,335,372 : x
  2. Step 2: Convert to fraction form
    642,776/1,335,372 = 1,335,372/x
  3. Step 3: Cross multiply
    642,776x = 1,335,372 × 1,335,372
  4. Step 4: Simplify right side
    642,776x = 1,783,218,378,384
  5. Step 5: Solve for x
    x = 1,783,218,378,384/642,776
  6. Step 6: Final answer
    x = 2,774,245.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.