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Finding the Third Proportional to 89,017,846 and 189,793,729

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Solution

The third proportional to 89,017,846 and 189,793,729 is: 404,656,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,846 : 189,793,729 = 189,793,729 : x
  2. Step 2: Convert to fraction form
    89,017,846/189,793,729 = 189,793,729/x
  3. Step 3: Cross multiply
    89,017,846x = 189,793,729 × 189,793,729
  4. Step 4: Simplify right side
    89,017,846x = 36,021,659,567,725,440
  5. Step 5: Solve for x
    x = 36,021,659,567,725,440/89,017,846
  6. Step 6: Final answer
    x = 404,656,607.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.