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Finding the Third Proportional to 127,776 and 271,944

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Solution

The third proportional to 127,776 and 271,944 is: 578,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776 : 271,944 = 271,944 : x
  2. Step 2: Convert to fraction form
    127,776/271,944 = 271,944/x
  3. Step 3: Cross multiply
    127,776x = 271,944 × 271,944
  4. Step 4: Simplify right side
    127,776x = 73,953,539,136
  5. Step 5: Solve for x
    x = 73,953,539,136/127,776
  6. Step 6: Final answer
    x = 578,774.88

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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.