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Finding the Third Proportional to 64,515 and 137,781

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Solution

The third proportional to 64,515 and 137,781 is: 294,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,515 : 137,781 = 137,781 : x
  2. Step 2: Convert to fraction form
    64,515/137,781 = 137,781/x
  3. Step 3: Cross multiply
    64,515x = 137,781 × 137,781
  4. Step 4: Simplify right side
    64,515x = 18,983,603,961
  5. Step 5: Solve for x
    x = 18,983,603,961/64,515
  6. Step 6: Final answer
    x = 294,251.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.