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Finding the Third Proportional to 64,413 and 137,385

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Solution

The third proportional to 64,413 and 137,385 is: 293,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,413 : 137,385 = 137,385 : x
  2. Step 2: Convert to fraction form
    64,413/137,385 = 137,385/x
  3. Step 3: Cross multiply
    64,413x = 137,385 × 137,385
  4. Step 4: Simplify right side
    64,413x = 18,874,638,225
  5. Step 5: Solve for x
    x = 18,874,638,225/64,413
  6. Step 6: Final answer
    x = 293,025.29

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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.