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Finding the Third Proportional to 356,598 and 783,468

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Solution

The third proportional to 356,598 and 783,468 is: 1,721,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,598 : 783,468 = 783,468 : x
  2. Step 2: Convert to fraction form
    356,598/783,468 = 783,468/x
  3. Step 3: Cross multiply
    356,598x = 783,468 × 783,468
  4. Step 4: Simplify right side
    356,598x = 613,822,107,024
  5. Step 5: Solve for x
    x = 613,822,107,024/356,598
  6. Step 6: Final answer
    x = 1,721,327.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.