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Finding the Third Proportional to 65,988 and 134,280

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Solution

The third proportional to 65,988 and 134,280 is: 273,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,988 : 134,280 = 134,280 : x
  2. Step 2: Convert to fraction form
    65,988/134,280 = 134,280/x
  3. Step 3: Cross multiply
    65,988x = 134,280 × 134,280
  4. Step 4: Simplify right side
    65,988x = 18,031,118,400
  5. Step 5: Solve for x
    x = 18,031,118,400/65,988
  6. Step 6: Final answer
    x = 273,248.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.