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Finding the Third Proportional to 234,420 and 516,648

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Solution

The third proportional to 234,420 and 516,648 is: 1,138,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,420 : 516,648 = 516,648 : x
  2. Step 2: Convert to fraction form
    234,420/516,648 = 516,648/x
  3. Step 3: Cross multiply
    234,420x = 516,648 × 516,648
  4. Step 4: Simplify right side
    234,420x = 266,925,155,904
  5. Step 5: Solve for x
    x = 266,925,155,904/234,420
  6. Step 6: Final answer
    x = 1,138,662.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.