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Finding the Third Proportional to 198,844,086 and 432,107,295

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Solution

The third proportional to 198,844,086 and 432,107,295 is: 939,010,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,844,086 : 432,107,295 = 432,107,295 : x
  2. Step 2: Convert to fraction form
    198,844,086/432,107,295 = 432,107,295/x
  3. Step 3: Cross multiply
    198,844,086x = 432,107,295 × 432,107,295
  4. Step 4: Simplify right side
    198,844,086x = 186,716,714,392,217,024
  5. Step 5: Solve for x
    x = 186,716,714,392,217,024/198,844,086
  6. Step 6: Final answer
    x = 939,010,649.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.