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Finding the Third Proportional to 331,381 and 506,709

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Solution

The third proportional to 331,381 and 506,709 is: 774,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,381 : 506,709 = 506,709 : x
  2. Step 2: Convert to fraction form
    331,381/506,709 = 506,709/x
  3. Step 3: Cross multiply
    331,381x = 506,709 × 506,709
  4. Step 4: Simplify right side
    331,381x = 256,754,010,681
  5. Step 5: Solve for x
    x = 256,754,010,681/331,381
  6. Step 6: Final answer
    x = 774,800.04

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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.