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Finding the Third Proportional to 138,576 and 291,084

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Solution

The third proportional to 138,576 and 291,084 is: 611,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576 : 291,084 = 291,084 : x
  2. Step 2: Convert to fraction form
    138,576/291,084 = 291,084/x
  3. Step 3: Cross multiply
    138,576x = 291,084 × 291,084
  4. Step 4: Simplify right side
    138,576x = 84,729,895,056
  5. Step 5: Solve for x
    x = 84,729,895,056/138,576
  6. Step 6: Final answer
    x = 611,432.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.