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Finding the Third Proportional to 99,638,498 and 215,653,198

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Solution

The third proportional to 99,638,498 and 215,653,198 is: 466,750,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,498 : 215,653,198 = 215,653,198 : x
  2. Step 2: Convert to fraction form
    99,638,498/215,653,198 = 215,653,198/x
  3. Step 3: Cross multiply
    99,638,498x = 215,653,198 × 215,653,198
  4. Step 4: Simplify right side
    99,638,498x = 46,506,301,807,627,200
  5. Step 5: Solve for x
    x = 46,506,301,807,627,200/99,638,498
  6. Step 6: Final answer
    x = 466,750,329.85

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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.