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Finding the Third Proportional to 218,040 and 462,468

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Solution

The third proportional to 218,040 and 462,468 is: 980,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,040 : 462,468 = 462,468 : x
  2. Step 2: Convert to fraction form
    218,040/462,468 = 462,468/x
  3. Step 3: Cross multiply
    218,040x = 462,468 × 462,468
  4. Step 4: Simplify right side
    218,040x = 213,876,651,024
  5. Step 5: Solve for x
    x = 213,876,651,024/218,040
  6. Step 6: Final answer
    x = 980,905.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.