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Finding the Third Proportional to 52,712 and 115,280

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Solution

The third proportional to 52,712 and 115,280 is: 252,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712 : 115,280 = 115,280 : x
  2. Step 2: Convert to fraction form
    52,712/115,280 = 115,280/x
  3. Step 3: Cross multiply
    52,712x = 115,280 × 115,280
  4. Step 4: Simplify right side
    52,712x = 13,289,478,400
  5. Step 5: Solve for x
    x = 13,289,478,400/52,712
  6. Step 6: Final answer
    x = 252,114.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.