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Finding the Third Proportional to 64,384 and 140,431

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Solution

The third proportional to 64,384 and 140,431 is: 306,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384 : 140,431 = 140,431 : x
  2. Step 2: Convert to fraction form
    64,384/140,431 = 140,431/x
  3. Step 3: Cross multiply
    64,384x = 140,431 × 140,431
  4. Step 4: Simplify right side
    64,384x = 19,720,865,761
  5. Step 5: Solve for x
    x = 19,720,865,761/64,384
  6. Step 6: Final answer
    x = 306,300.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.