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Finding the Third Proportional to 64,910 and 136,371

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Solution

The third proportional to 64,910 and 136,371 is: 286,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,910 : 136,371 = 136,371 : x
  2. Step 2: Convert to fraction form
    64,910/136,371 = 136,371/x
  3. Step 3: Cross multiply
    64,910x = 136,371 × 136,371
  4. Step 4: Simplify right side
    64,910x = 18,597,049,641
  5. Step 5: Solve for x
    x = 18,597,049,641/64,910
  6. Step 6: Final answer
    x = 286,505.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.