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Finding the Third Proportional to 99,638,494 and 215,653,190

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Solution

The third proportional to 99,638,494 and 215,653,190 is: 466,750,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,494 : 215,653,190 = 215,653,190 : x
  2. Step 2: Convert to fraction form
    99,638,494/215,653,190 = 215,653,190/x
  3. Step 3: Cross multiply
    99,638,494x = 215,653,190 × 215,653,190
  4. Step 4: Simplify right side
    99,638,494x = 46,506,298,357,176,096
  5. Step 5: Solve for x
    x = 46,506,298,357,176,096/99,638,494
  6. Step 6: Final answer
    x = 466,750,313.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.