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Finding the Third Proportional to 100,128,231 and 207,930,321

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Solution

The third proportional to 100,128,231 and 207,930,321 is: 431,796,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,128,231 : 207,930,321 = 207,930,321 : x
  2. Step 2: Convert to fraction form
    100,128,231/207,930,321 = 207,930,321/x
  3. Step 3: Cross multiply
    100,128,231x = 207,930,321 × 207,930,321
  4. Step 4: Simplify right side
    100,128,231x = 43,235,018,391,163,040
  5. Step 5: Solve for x
    x = 43,235,018,391,163,040/100,128,231
  6. Step 6: Final answer
    x = 431,796,486.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.