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Finding the Third Proportional to 64,476 and 137,700

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Solution

The third proportional to 64,476 and 137,700 is: 294,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,476 : 137,700 = 137,700 : x
  2. Step 2: Convert to fraction form
    64,476/137,700 = 137,700/x
  3. Step 3: Cross multiply
    64,476x = 137,700 × 137,700
  4. Step 4: Simplify right side
    64,476x = 18,961,290,000
  5. Step 5: Solve for x
    x = 18,961,290,000/64,476
  6. Step 6: Final answer
    x = 294,082.91

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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.