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Finding the Third Proportional to 66,280 and 142,376

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Solution

The third proportional to 66,280 and 142,376 is: 305,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280 : 142,376 = 142,376 : x
  2. Step 2: Convert to fraction form
    66,280/142,376 = 142,376/x
  3. Step 3: Cross multiply
    66,280x = 142,376 × 142,376
  4. Step 4: Simplify right side
    66,280x = 20,270,925,376
  5. Step 5: Solve for x
    x = 20,270,925,376/66,280
  6. Step 6: Final answer
    x = 305,837.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.