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Finding the Third Proportional to 508,860 and 748,434

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Solution

The third proportional to 508,860 and 748,434 is: 1,100,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,860 : 748,434 = 748,434 : x
  2. Step 2: Convert to fraction form
    508,860/748,434 = 748,434/x
  3. Step 3: Cross multiply
    508,860x = 748,434 × 748,434
  4. Step 4: Simplify right side
    508,860x = 560,153,452,356
  5. Step 5: Solve for x
    x = 560,153,452,356/508,860
  6. Step 6: Final answer
    x = 1,100,800.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.