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Finding the Third Proportional to 78,331.13 and 160,810.13

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Solution

The third proportional to 78,331.13 and 160,810.13 is: 330,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,331.13 : 160,810.13 = 160,810.13 : x
  2. Step 2: Convert to fraction form
    78,331.13/160,810.13 = 160,810.13/x
  3. Step 3: Cross multiply
    78,331.13x = 160,810.13 × 160,810.13
  4. Step 4: Simplify right side
    78,331.13x = 25,859,896,302.52
  5. Step 5: Solve for x
    x = 25,859,896,302.52/78,331.13
  6. Step 6: Final answer
    x = 330,135.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.