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Finding the Third Proportional to 81,146,491 and 125,669,458

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Solution

The third proportional to 81,146,491 and 125,669,458 is: 194,621,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146,491 : 125,669,458 = 125,669,458 : x
  2. Step 2: Convert to fraction form
    81,146,491/125,669,458 = 125,669,458/x
  3. Step 3: Cross multiply
    81,146,491x = 125,669,458 × 125,669,458
  4. Step 4: Simplify right side
    81,146,491x = 15,792,812,674,013,764
  5. Step 5: Solve for x
    x = 15,792,812,674,013,764/81,146,491
  6. Step 6: Final answer
    x = 194,621,017.86

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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.