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Finding the Third Proportional to 61,350 and 125,280

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Solution

The third proportional to 61,350 and 125,280 is: 255,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,350 : 125,280 = 125,280 : x
  2. Step 2: Convert to fraction form
    61,350/125,280 = 125,280/x
  3. Step 3: Cross multiply
    61,350x = 125,280 × 125,280
  4. Step 4: Simplify right side
    61,350x = 15,695,078,400
  5. Step 5: Solve for x
    x = 15,695,078,400/61,350
  6. Step 6: Final answer
    x = 255,828.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.