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Finding the Third Proportional to 116,420 and 251,386

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Solution

The third proportional to 116,420 and 251,386 is: 542,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420 : 251,386 = 251,386 : x
  2. Step 2: Convert to fraction form
    116,420/251,386 = 251,386/x
  3. Step 3: Cross multiply
    116,420x = 251,386 × 251,386
  4. Step 4: Simplify right side
    116,420x = 63,194,920,996
  5. Step 5: Solve for x
    x = 63,194,920,996/116,420
  6. Step 6: Final answer
    x = 542,818.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.