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Finding the Third Proportional to 66,280 and 137,024

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Solution

The third proportional to 66,280 and 137,024 is: 283,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280 : 137,024 = 137,024 : x
  2. Step 2: Convert to fraction form
    66,280/137,024 = 137,024/x
  3. Step 3: Cross multiply
    66,280x = 137,024 × 137,024
  4. Step 4: Simplify right side
    66,280x = 18,775,576,576
  5. Step 5: Solve for x
    x = 18,775,576,576/66,280
  6. Step 6: Final answer
    x = 283,276.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.