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Finding the Third Proportional to 66,260 and 141,988

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Solution

The third proportional to 66,260 and 141,988 is: 304,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,260 : 141,988 = 141,988 : x
  2. Step 2: Convert to fraction form
    66,260/141,988 = 141,988/x
  3. Step 3: Cross multiply
    66,260x = 141,988 × 141,988
  4. Step 4: Simplify right side
    66,260x = 20,160,592,144
  5. Step 5: Solve for x
    x = 20,160,592,144/66,260
  6. Step 6: Final answer
    x = 304,264.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.