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Finding the Third Proportional to 129,386 and 282,909

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Solution

The third proportional to 129,386 and 282,909 is: 618,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,386 : 282,909 = 282,909 : x
  2. Step 2: Convert to fraction form
    129,386/282,909 = 282,909/x
  3. Step 3: Cross multiply
    129,386x = 282,909 × 282,909
  4. Step 4: Simplify right side
    129,386x = 80,037,502,281
  5. Step 5: Solve for x
    x = 80,037,502,281/129,386
  6. Step 6: Final answer
    x = 618,594.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.