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Finding the Third Proportional to 180,424.13 and 289,909.13

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Solution

The third proportional to 180,424.13 and 289,909.13 is: 465,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,424.13 : 289,909.13 = 289,909.13 : x
  2. Step 2: Convert to fraction form
    180,424.13/289,909.13 = 289,909.13/x
  3. Step 3: Cross multiply
    180,424.13x = 289,909.13 × 289,909.13
  4. Step 4: Simplify right side
    180,424.13x = 84,047,300,758.27
  5. Step 5: Solve for x
    x = 84,047,300,758.27/180,424.13
  6. Step 6: Final answer
    x = 465,831.83

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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.