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Finding the Third Proportional to 131,756,814 and 286,194,822

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Solution

The third proportional to 131,756,814 and 286,194,822 is: 621,656,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,756,814 : 286,194,822 = 286,194,822 : x
  2. Step 2: Convert to fraction form
    131,756,814/286,194,822 = 286,194,822/x
  3. Step 3: Cross multiply
    131,756,814x = 286,194,822 × 286,194,822
  4. Step 4: Simplify right side
    131,756,814x = 81,907,476,139,611,680
  5. Step 5: Solve for x
    x = 81,907,476,139,611,680/131,756,814
  6. Step 6: Final answer
    x = 621,656,471.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.