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Finding the Third Proportional to 78,580.13 and 170,272.13

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Solution

The third proportional to 78,580.13 and 170,272.13 is: 368,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580.13 : 170,272.13 = 170,272.13 : x
  2. Step 2: Convert to fraction form
    78,580.13/170,272.13 = 170,272.13/x
  3. Step 3: Cross multiply
    78,580.13x = 170,272.13 × 170,272.13
  4. Step 4: Simplify right side
    78,580.13x = 28,992,596,552.02
  5. Step 5: Solve for x
    x = 28,992,596,552.02/78,580.13
  6. Step 6: Final answer
    x = 368,955.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.