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Finding the Third Proportional to 138,324 and 301,776

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Solution

The third proportional to 138,324 and 301,776 is: 658,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324 : 301,776 = 301,776 : x
  2. Step 2: Convert to fraction form
    138,324/301,776 = 301,776/x
  3. Step 3: Cross multiply
    138,324x = 301,776 × 301,776
  4. Step 4: Simplify right side
    138,324x = 91,068,754,176
  5. Step 5: Solve for x
    x = 91,068,754,176/138,324
  6. Step 6: Final answer
    x = 658,372.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.