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Finding the Third Proportional to 77,740.07 and 169,550.40

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Solution

The third proportional to 77,740.07 and 169,550.40 is: 369,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740.07 : 169,550.40 = 169,550.40 : x
  2. Step 2: Convert to fraction form
    77,740.07/169,550.40 = 169,550.40/x
  3. Step 3: Cross multiply
    77,740.07x = 169,550.40 × 169,550.40
  4. Step 4: Simplify right side
    77,740.07x = 28,747,338,934.93
  5. Step 5: Solve for x
    x = 28,747,338,934.93/77,740.07
  6. Step 6: Final answer
    x = 369,787.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.