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Finding the Third Proportional to 403,598 and 608,469

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Solution

The third proportional to 403,598 and 608,469 is: 917,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,598 : 608,469 = 608,469 : x
  2. Step 2: Convert to fraction form
    403,598/608,469 = 608,469/x
  3. Step 3: Cross multiply
    403,598x = 608,469 × 608,469
  4. Step 4: Simplify right side
    403,598x = 370,234,523,961
  5. Step 5: Solve for x
    x = 370,234,523,961/403,598
  6. Step 6: Final answer
    x = 917,334.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.