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Finding the Third Proportional to 21,290,899 and 31,900,802

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Solution

The third proportional to 21,290,899 and 31,900,802 is: 47,797,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290,899 : 31,900,802 = 31,900,802 : x
  2. Step 2: Convert to fraction form
    21,290,899/31,900,802 = 31,900,802/x
  3. Step 3: Cross multiply
    21,290,899x = 31,900,802 × 31,900,802
  4. Step 4: Simplify right side
    21,290,899x = 1,017,661,168,243,204
  5. Step 5: Solve for x
    x = 1,017,661,168,243,204/21,290,899
  6. Step 6: Final answer
    x = 47,797,942.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.