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Finding the Third Proportional to 99,638,500 and 215,653,202

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Solution

The third proportional to 99,638,500 and 215,653,202 is: 466,750,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,500 : 215,653,202 = 215,653,202 : x
  2. Step 2: Convert to fraction form
    99,638,500/215,653,202 = 215,653,202/x
  3. Step 3: Cross multiply
    99,638,500x = 215,653,202 × 215,653,202
  4. Step 4: Simplify right side
    99,638,500x = 46,506,303,532,852,800
  5. Step 5: Solve for x
    x = 46,506,303,532,852,800/99,638,500
  6. Step 6: Final answer
    x = 466,750,337.80

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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.