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Finding the Third Proportional to 400,120 and 604,464

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Solution

The third proportional to 400,120 and 604,464 is: 913,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,120 : 604,464 = 604,464 : x
  2. Step 2: Convert to fraction form
    400,120/604,464 = 604,464/x
  3. Step 3: Cross multiply
    400,120x = 604,464 × 604,464
  4. Step 4: Simplify right side
    400,120x = 365,376,727,296
  5. Step 5: Solve for x
    x = 365,376,727,296/400,120
  6. Step 6: Final answer
    x = 913,167.87

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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.