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Finding the Third Proportional to 105,280 and 136,592

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Solution

The third proportional to 105,280 and 136,592 is: 177,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280 : 136,592 = 136,592 : x
  2. Step 2: Convert to fraction form
    105,280/136,592 = 136,592/x
  3. Step 3: Cross multiply
    105,280x = 136,592 × 136,592
  4. Step 4: Simplify right side
    105,280x = 18,657,374,464
  5. Step 5: Solve for x
    x = 18,657,374,464/105,280
  6. Step 6: Final answer
    x = 177,216.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.