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Finding the Third Proportional to 78,622.88 and 169,760.25

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Solution

The third proportional to 78,622.88 and 169,760.25 is: 366,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.88 : 169,760.25 = 169,760.25 : x
  2. Step 2: Convert to fraction form
    78,622.88/169,760.25 = 169,760.25/x
  3. Step 3: Cross multiply
    78,622.88x = 169,760.25 × 169,760.25
  4. Step 4: Simplify right side
    78,622.88x = 28,818,542,480.06
  5. Step 5: Solve for x
    x = 28,818,542,480.06/78,622.88
  6. Step 6: Final answer
    x = 366,541.45

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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.