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Finding the Third Proportional to 165,570 and 256,312

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Solution

The third proportional to 165,570 and 256,312 is: 396,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,570 : 256,312 = 256,312 : x
  2. Step 2: Convert to fraction form
    165,570/256,312 = 256,312/x
  3. Step 3: Cross multiply
    165,570x = 256,312 × 256,312
  4. Step 4: Simplify right side
    165,570x = 65,695,841,344
  5. Step 5: Solve for x
    x = 65,695,841,344/165,570
  6. Step 6: Final answer
    x = 396,785.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.