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Finding the Third Proportional to 106,129,568 and 225,013,312

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Solution

The third proportional to 106,129,568 and 225,013,312 is: 477,067,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129,568 : 225,013,312 = 225,013,312 : x
  2. Step 2: Convert to fraction form
    106,129,568/225,013,312 = 225,013,312/x
  3. Step 3: Cross multiply
    106,129,568x = 225,013,312 × 225,013,312
  4. Step 4: Simplify right side
    106,129,568x = 50,630,990,577,209,344
  5. Step 5: Solve for x
    x = 50,630,990,577,209,344/106,129,568
  6. Step 6: Final answer
    x = 477,067,715.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.