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Finding the Third Proportional to 281,868,698 and 431,226,885

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Solution

The third proportional to 281,868,698 and 431,226,885 is: 659,727,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,868,698 : 431,226,885 = 431,226,885 : x
  2. Step 2: Convert to fraction form
    281,868,698/431,226,885 = 431,226,885/x
  3. Step 3: Cross multiply
    281,868,698x = 431,226,885 × 431,226,885
  4. Step 4: Simplify right side
    281,868,698x = 185,956,626,346,803,232
  5. Step 5: Solve for x
    x = 185,956,626,346,803,232/281,868,698
  6. Step 6: Final answer
    x = 659,727,836.64

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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.