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Finding the Third Proportional to 64,420 and 137,398

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Solution

The third proportional to 64,420 and 137,398 is: 293,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,420 : 137,398 = 137,398 : x
  2. Step 2: Convert to fraction form
    64,420/137,398 = 137,398/x
  3. Step 3: Cross multiply
    64,420x = 137,398 × 137,398
  4. Step 4: Simplify right side
    64,420x = 18,878,210,404
  5. Step 5: Solve for x
    x = 18,878,210,404/64,420
  6. Step 6: Final answer
    x = 293,048.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.