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Finding the Third Proportional to 281,862,765 and 431,218,471.50

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Solution

The third proportional to 281,862,765 and 431,218,471.50 is: 659,715,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,862,765 : 431,218,471.50 = 431,218,471.50 : x
  2. Step 2: Convert to fraction form
    281,862,765/431,218,471.50 = 431,218,471.50/x
  3. Step 3: Cross multiply
    281,862,765x = 431,218,471.50 × 431,218,471.50
  4. Step 4: Simplify right side
    281,862,765x = 185,949,370,162,796,320
  5. Step 5: Solve for x
    x = 185,949,370,162,796,320/281,862,765
  6. Step 6: Final answer
    x = 659,715,979.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.