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Finding the Third Proportional to 78,939.56 and 170,515.13

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Solution

The third proportional to 78,939.56 and 170,515.13 is: 368,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,939.56 : 170,515.13 = 170,515.13 : x
  2. Step 2: Convert to fraction form
    78,939.56/170,515.13 = 170,515.13/x
  3. Step 3: Cross multiply
    78,939.56x = 170,515.13 × 170,515.13
  4. Step 4: Simplify right side
    78,939.56x = 29,075,407,853.77
  5. Step 5: Solve for x
    x = 29,075,407,853.77/78,939.56
  6. Step 6: Final answer
    x = 368,324.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.