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Finding the Third Proportional to 205,669.13 and 312,472.69

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Solution

The third proportional to 205,669.13 and 312,472.69 is: 474,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,669.13 : 312,472.69 = 312,472.69 : x
  2. Step 2: Convert to fraction form
    205,669.13/312,472.69 = 312,472.69/x
  3. Step 3: Cross multiply
    205,669.13x = 312,472.69 × 312,472.69
  4. Step 4: Simplify right side
    205,669.13x = 97,639,180,433.47
  5. Step 5: Solve for x
    x = 97,639,180,433.47/205,669.13
  6. Step 6: Final answer
    x = 474,739.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.