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Finding the Third Proportional to 138,544,166 and 299,054,560

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Solution

The third proportional to 138,544,166 and 299,054,560 is: 645,524,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544,166 : 299,054,560 = 299,054,560 : x
  2. Step 2: Convert to fraction form
    138,544,166/299,054,560 = 299,054,560/x
  3. Step 3: Cross multiply
    138,544,166x = 299,054,560 × 299,054,560
  4. Step 4: Simplify right side
    138,544,166x = 89,433,629,856,793,600
  5. Step 5: Solve for x
    x = 89,433,629,856,793,600/138,544,166
  6. Step 6: Final answer
    x = 645,524,329.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.