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Finding the Third Proportional to 83,278.69 and 118,690.13

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Solution

The third proportional to 83,278.69 and 118,690.13 is: 169,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,278.69 : 118,690.13 = 118,690.13 : x
  2. Step 2: Convert to fraction form
    83,278.69/118,690.13 = 118,690.13/x
  3. Step 3: Cross multiply
    83,278.69x = 118,690.13 × 118,690.13
  4. Step 4: Simplify right side
    83,278.69x = 14,087,345,772.52
  5. Step 5: Solve for x
    x = 14,087,345,772.52/83,278.69
  6. Step 6: Final answer
    x = 169,159.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.