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Finding the Third Proportional to 213,643 and 332,129

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Solution

The third proportional to 213,643 and 332,129 is: 516,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643 : 332,129 = 332,129 : x
  2. Step 2: Convert to fraction form
    213,643/332,129 = 332,129/x
  3. Step 3: Cross multiply
    213,643x = 332,129 × 332,129
  4. Step 4: Simplify right side
    213,643x = 110,309,672,641
  5. Step 5: Solve for x
    x = 110,309,672,641/213,643
  6. Step 6: Final answer
    x = 516,327.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.