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Finding the Third Proportional to 165,545 and 256,280

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Solution

The third proportional to 165,545 and 256,280 is: 396,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,545 : 256,280 = 256,280 : x
  2. Step 2: Convert to fraction form
    165,545/256,280 = 256,280/x
  3. Step 3: Cross multiply
    165,545x = 256,280 × 256,280
  4. Step 4: Simplify right side
    165,545x = 65,679,438,400
  5. Step 5: Solve for x
    x = 65,679,438,400/165,545
  6. Step 6: Final answer
    x = 396,746.74

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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.