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Finding the Third Proportional to 77,074,706.78 and 158,235,375.62

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Solution

The third proportional to 77,074,706.78 and 158,235,375.62 is: 324,859,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074,706.78 : 158,235,375.62 = 158,235,375.62 : x
  2. Step 2: Convert to fraction form
    77,074,706.78/158,235,375.62 = 158,235,375.62/x
  3. Step 3: Cross multiply
    77,074,706.78x = 158,235,375.62 × 158,235,375.62
  4. Step 4: Simplify right side
    77,074,706.78x = 25,038,434,096,561,304
  5. Step 5: Solve for x
    x = 25,038,434,096,561,304/77,074,706.78
  6. Step 6: Final answer
    x = 324,859,284.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.