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Finding the Third Proportional to 102,392 and 221,431

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Solution

The third proportional to 102,392 and 221,431 is: 478,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392 : 221,431 = 221,431 : x
  2. Step 2: Convert to fraction form
    102,392/221,431 = 221,431/x
  3. Step 3: Cross multiply
    102,392x = 221,431 × 221,431
  4. Step 4: Simplify right side
    102,392x = 49,031,687,761
  5. Step 5: Solve for x
    x = 49,031,687,761/102,392
  6. Step 6: Final answer
    x = 478,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.