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Finding the Third Proportional to 99,638,322 and 215,652,846

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Solution

The third proportional to 99,638,322 and 215,652,846 is: 466,749,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,322 : 215,652,846 = 215,652,846 : x
  2. Step 2: Convert to fraction form
    99,638,322/215,652,846 = 215,652,846/x
  3. Step 3: Cross multiply
    99,638,322x = 215,652,846 × 215,652,846
  4. Step 4: Simplify right side
    99,638,322x = 46,506,149,987,899,712
  5. Step 5: Solve for x
    x = 46,506,149,987,899,712/99,638,322
  6. Step 6: Final answer
    x = 466,749,630.61

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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.