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Finding the Third Proportional to 104,406.47 and 156,336.33

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Solution

The third proportional to 104,406.47 and 156,336.33 is: 234,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,406.47 : 156,336.33 = 156,336.33 : x
  2. Step 2: Convert to fraction form
    104,406.47/156,336.33 = 156,336.33/x
  3. Step 3: Cross multiply
    104,406.47x = 156,336.33 × 156,336.33
  4. Step 4: Simplify right side
    104,406.47x = 24,441,047,491.61
  5. Step 5: Solve for x
    x = 24,441,047,491.61/104,406.47
  6. Step 6: Final answer
    x = 234,095.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.