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Finding the Third Proportional to 218,280 and 458,576

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Solution

The third proportional to 218,280 and 458,576 is: 963,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,280 : 458,576 = 458,576 : x
  2. Step 2: Convert to fraction form
    218,280/458,576 = 458,576/x
  3. Step 3: Cross multiply
    218,280x = 458,576 × 458,576
  4. Step 4: Simplify right side
    218,280x = 210,291,947,776
  5. Step 5: Solve for x
    x = 210,291,947,776/218,280
  6. Step 6: Final answer
    x = 963,404.56

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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.