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Finding the Third Proportional to 502,318 and 753,478

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Solution

The third proportional to 502,318 and 753,478 is: 1,130,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,318 : 753,478 = 753,478 : x
  2. Step 2: Convert to fraction form
    502,318/753,478 = 753,478/x
  3. Step 3: Cross multiply
    502,318x = 753,478 × 753,478
  4. Step 4: Simplify right side
    502,318x = 567,729,096,484
  5. Step 5: Solve for x
    x = 567,729,096,484/502,318
  6. Step 6: Final answer
    x = 1,130,218.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.