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Finding the Third Proportional to 310,902 and 472,431

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Solution

The third proportional to 310,902 and 472,431 is: 717,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902 : 472,431 = 472,431 : x
  2. Step 2: Convert to fraction form
    310,902/472,431 = 472,431/x
  3. Step 3: Cross multiply
    310,902x = 472,431 × 472,431
  4. Step 4: Simplify right side
    310,902x = 223,191,049,761
  5. Step 5: Solve for x
    x = 223,191,049,761/310,902
  6. Step 6: Final answer
    x = 717,882.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.