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Finding the Third Proportional to 98,443,472 and 214,600,680

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Solution

The third proportional to 98,443,472 and 214,600,680 is: 467,816,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443,472 : 214,600,680 = 214,600,680 : x
  2. Step 2: Convert to fraction form
    98,443,472/214,600,680 = 214,600,680/x
  3. Step 3: Cross multiply
    98,443,472x = 214,600,680 × 214,600,680
  4. Step 4: Simplify right side
    98,443,472x = 46,053,451,856,462,400
  5. Step 5: Solve for x
    x = 46,053,451,856,462,400/98,443,472
  6. Step 6: Final answer
    x = 467,816,208.84

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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.