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Finding the Third Proportional to 398,365 and 609,663

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Solution

The third proportional to 398,365 and 609,663 is: 933,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,365 : 609,663 = 609,663 : x
  2. Step 2: Convert to fraction form
    398,365/609,663 = 609,663/x
  3. Step 3: Cross multiply
    398,365x = 609,663 × 609,663
  4. Step 4: Simplify right side
    398,365x = 371,688,973,569
  5. Step 5: Solve for x
    x = 371,688,973,569/398,365
  6. Step 6: Final answer
    x = 933,036.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.