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Finding the Third Proportional to 331,522 and 508,731

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Solution

The third proportional to 331,522 and 508,731 is: 780,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,522 : 508,731 = 508,731 : x
  2. Step 2: Convert to fraction form
    331,522/508,731 = 508,731/x
  3. Step 3: Cross multiply
    331,522x = 508,731 × 508,731
  4. Step 4: Simplify right side
    331,522x = 258,807,230,361
  5. Step 5: Solve for x
    x = 258,807,230,361/331,522
  6. Step 6: Final answer
    x = 780,663.82

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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.