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Finding the Third Proportional to 281,862,828 and 431,218,557

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Solution

The third proportional to 281,862,828 and 431,218,557 is: 659,716,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,862,828 : 431,218,557 = 431,218,557 : x
  2. Step 2: Convert to fraction form
    281,862,828/431,218,557 = 431,218,557/x
  3. Step 3: Cross multiply
    281,862,828x = 431,218,557 × 431,218,557
  4. Step 4: Simplify right side
    281,862,828x = 185,949,443,901,162,240
  5. Step 5: Solve for x
    x = 185,949,443,901,162,240/281,862,828
  6. Step 6: Final answer
    x = 659,716,093.89

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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.