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Finding the Third Proportional to 269,023.78 and 433,470.23

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Solution

The third proportional to 269,023.78 and 433,470.23 is: 698,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,023.78 : 433,470.23 = 433,470.23 : x
  2. Step 2: Convert to fraction form
    269,023.78/433,470.23 = 433,470.23/x
  3. Step 3: Cross multiply
    269,023.78x = 433,470.23 × 433,470.23
  4. Step 4: Simplify right side
    269,023.78x = 187,896,444,089.12
  5. Step 5: Solve for x
    x = 187,896,444,089.12/269,023.78
  6. Step 6: Final answer
    x = 698,438.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.