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Finding the Third Proportional to 506,105 and 764,385

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Solution

The third proportional to 506,105 and 764,385 is: 1,154,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,105 : 764,385 = 764,385 : x
  2. Step 2: Convert to fraction form
    506,105/764,385 = 764,385/x
  3. Step 3: Cross multiply
    506,105x = 764,385 × 764,385
  4. Step 4: Simplify right side
    506,105x = 584,284,428,225
  5. Step 5: Solve for x
    x = 584,284,428,225/506,105
  6. Step 6: Final answer
    x = 1,154,472.74

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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.