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Finding the Third Proportional to 64,687 and 141,397

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Solution

The third proportional to 64,687 and 141,397 is: 309,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,687 : 141,397 = 141,397 : x
  2. Step 2: Convert to fraction form
    64,687/141,397 = 141,397/x
  3. Step 3: Cross multiply
    64,687x = 141,397 × 141,397
  4. Step 4: Simplify right side
    64,687x = 19,993,111,609
  5. Step 5: Solve for x
    x = 19,993,111,609/64,687
  6. Step 6: Final answer
    x = 309,074.65

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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.