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Finding the Third Proportional to 91,086,669 and 198,346,167

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Solution

The third proportional to 91,086,669 and 198,346,167 is: 431,909,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086,669 : 198,346,167 = 198,346,167 : x
  2. Step 2: Convert to fraction form
    91,086,669/198,346,167 = 198,346,167/x
  3. Step 3: Cross multiply
    91,086,669x = 198,346,167 × 198,346,167
  4. Step 4: Simplify right side
    91,086,669x = 39,341,201,963,591,888
  5. Step 5: Solve for x
    x = 39,341,201,963,591,888/91,086,669
  6. Step 6: Final answer
    x = 431,909,547.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.