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Finding the Third Proportional to 64,684 and 141,391

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Solution

The third proportional to 64,684 and 141,391 is: 309,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,684 : 141,391 = 141,391 : x
  2. Step 2: Convert to fraction form
    64,684/141,391 = 141,391/x
  3. Step 3: Cross multiply
    64,684x = 141,391 × 141,391
  4. Step 4: Simplify right side
    64,684x = 19,991,414,881
  5. Step 5: Solve for x
    x = 19,991,414,881/64,684
  6. Step 6: Final answer
    x = 309,062.75

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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.