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Finding the Third Proportional to 90,172,932 and 196,947,864

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Solution

The third proportional to 90,172,932 and 196,947,864 is: 430,156,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172,932 : 196,947,864 = 196,947,864 : x
  2. Step 2: Convert to fraction form
    90,172,932/196,947,864 = 196,947,864/x
  3. Step 3: Cross multiply
    90,172,932x = 196,947,864 × 196,947,864
  4. Step 4: Simplify right side
    90,172,932x = 38,788,461,134,162,496
  5. Step 5: Solve for x
    x = 38,788,461,134,162,496/90,172,932
  6. Step 6: Final answer
    x = 430,156,370.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.