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Finding the Third Proportional to 80,097,121 and 124,080,913.50

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Solution

The third proportional to 80,097,121 and 124,080,913.50 is: 192,217,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,097,121 : 124,080,913.50 = 124,080,913.50 : x
  2. Step 2: Convert to fraction form
    80,097,121/124,080,913.50 = 124,080,913.50/x
  3. Step 3: Cross multiply
    80,097,121x = 124,080,913.50 × 124,080,913.50
  4. Step 4: Simplify right side
    80,097,121x = 15,396,073,094,994,482
  5. Step 5: Solve for x
    x = 15,396,073,094,994,482/80,097,121
  6. Step 6: Final answer
    x = 192,217,559.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.