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Finding the Third Proportional to 102,488,196 and 223,887,624

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Solution

The third proportional to 102,488,196 and 223,887,624 is: 489,087,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488,196 : 223,887,624 = 223,887,624 : x
  2. Step 2: Convert to fraction form
    102,488,196/223,887,624 = 223,887,624/x
  3. Step 3: Cross multiply
    102,488,196x = 223,887,624 × 223,887,624
  4. Step 4: Simplify right side
    102,488,196x = 50,125,668,180,365,376
  5. Step 5: Solve for x
    x = 50,125,668,180,365,376/102,488,196
  6. Step 6: Final answer
    x = 489,087,232.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.