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Finding the Third Proportional to 64,415 and 137,389

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Solution

The third proportional to 64,415 and 137,389 is: 293,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,415 : 137,389 = 137,389 : x
  2. Step 2: Convert to fraction form
    64,415/137,389 = 137,389/x
  3. Step 3: Cross multiply
    64,415x = 137,389 × 137,389
  4. Step 4: Simplify right side
    64,415x = 18,875,737,321
  5. Step 5: Solve for x
    x = 18,875,737,321/64,415
  6. Step 6: Final answer
    x = 293,033.26

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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.