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Finding the Third Proportional to 118,528 and 256,730

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Solution

The third proportional to 118,528 and 256,730 is: 556,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,528 : 256,730 = 256,730 : x
  2. Step 2: Convert to fraction form
    118,528/256,730 = 256,730/x
  3. Step 3: Cross multiply
    118,528x = 256,730 × 256,730
  4. Step 4: Simplify right side
    118,528x = 65,910,292,900
  5. Step 5: Solve for x
    x = 65,910,292,900/118,528
  6. Step 6: Final answer
    x = 556,073.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.