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Finding the Third Proportional to 99,638,320.50 and 215,652,843

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Solution

The third proportional to 99,638,320.50 and 215,652,843 is: 466,749,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,320.50 : 215,652,843 = 215,652,843 : x
  2. Step 2: Convert to fraction form
    99,638,320.50/215,652,843 = 215,652,843/x
  3. Step 3: Cross multiply
    99,638,320.50x = 215,652,843 × 215,652,843
  4. Step 4: Simplify right side
    99,638,320.50x = 46,506,148,693,982,648
  5. Step 5: Solve for x
    x = 46,506,148,693,982,648/99,638,320.50
  6. Step 6: Final answer
    x = 466,749,624.65

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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.