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Finding the Third Proportional to 153,778.50 and 181,966.50

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Solution

The third proportional to 153,778.50 and 181,966.50 is: 215,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,778.50 : 181,966.50 = 181,966.50 : x
  2. Step 2: Convert to fraction form
    153,778.50/181,966.50 = 181,966.50/x
  3. Step 3: Cross multiply
    153,778.50x = 181,966.50 × 181,966.50
  4. Step 4: Simplify right side
    153,778.50x = 33,111,807,122.25
  5. Step 5: Solve for x
    x = 33,111,807,122.25/153,778.50
  6. Step 6: Final answer
    x = 215,321.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.