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Finding the Third Proportional to 397,246.78 and 510,059.53

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Solution

The third proportional to 397,246.78 and 510,059.53 is: 654,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,246.78 : 510,059.53 = 510,059.53 : x
  2. Step 2: Convert to fraction form
    397,246.78/510,059.53 = 510,059.53/x
  3. Step 3: Cross multiply
    397,246.78x = 510,059.53 × 510,059.53
  4. Step 4: Simplify right side
    397,246.78x = 260,160,725,418.97
  5. Step 5: Solve for x
    x = 260,160,725,418.97/397,246.78
  6. Step 6: Final answer
    x = 654,909.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.