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Finding the Third Proportional to 410,145.19 and 642,098.81

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Solution

The third proportional to 410,145.19 and 642,098.81 is: 1,005,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,145.19 : 642,098.81 = 642,098.81 : x
  2. Step 2: Convert to fraction form
    410,145.19/642,098.81 = 642,098.81/x
  3. Step 3: Cross multiply
    410,145.19x = 642,098.81 × 642,098.81
  4. Step 4: Simplify right side
    410,145.19x = 412,290,885,013.91
  5. Step 5: Solve for x
    x = 412,290,885,013.91/410,145.19
  6. Step 6: Final answer
    x = 1,005,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.