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Finding the Third Proportional to 78,754.78 and 169,953.19

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Solution

The third proportional to 78,754.78 and 169,953.19 is: 366,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,754.78 : 169,953.19 = 169,953.19 : x
  2. Step 2: Convert to fraction form
    78,754.78/169,953.19 = 169,953.19/x
  3. Step 3: Cross multiply
    78,754.78x = 169,953.19 × 169,953.19
  4. Step 4: Simplify right side
    78,754.78x = 28,884,085,941.41
  5. Step 5: Solve for x
    x = 28,884,085,941.41/78,754.78
  6. Step 6: Final answer
    x = 366,759.78

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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.