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Finding the Third Proportional to 100,296,830 and 218,399,294

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Solution

The third proportional to 100,296,830 and 218,399,294 is: 475,570,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296,830 : 218,399,294 = 218,399,294 : x
  2. Step 2: Convert to fraction form
    100,296,830/218,399,294 = 218,399,294/x
  3. Step 3: Cross multiply
    100,296,830x = 218,399,294 × 218,399,294
  4. Step 4: Simplify right side
    100,296,830x = 47,698,251,619,698,432
  5. Step 5: Solve for x
    x = 47,698,251,619,698,432/100,296,830
  6. Step 6: Final answer
    x = 475,570,879.16

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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.