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Finding the Third Proportional to 321,983,540 and 502,107,192

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Solution

The third proportional to 321,983,540 and 502,107,192 is: 782,995,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983,540 : 502,107,192 = 502,107,192 : x
  2. Step 2: Convert to fraction form
    321,983,540/502,107,192 = 502,107,192/x
  3. Step 3: Cross multiply
    321,983,540x = 502,107,192 × 502,107,192
  4. Step 4: Simplify right side
    321,983,540x = 252,111,632,258,124,864
  5. Step 5: Solve for x
    x = 252,111,632,258,124,864/321,983,540
  6. Step 6: Final answer
    x = 782,995,404.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.