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Finding the Third Proportional to 218,838,321 and 338,483,701.13

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Solution

The third proportional to 218,838,321 and 338,483,701.13 is: 523,542,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,838,321 : 338,483,701.13 = 338,483,701.13 : x
  2. Step 2: Convert to fraction form
    218,838,321/338,483,701.13 = 338,483,701.13/x
  3. Step 3: Cross multiply
    218,838,321x = 338,483,701.13 × 338,483,701.13
  4. Step 4: Simplify right side
    218,838,321x = 114,571,215,927,278,320
  5. Step 5: Solve for x
    x = 114,571,215,927,278,320/218,838,321
  6. Step 6: Final answer
    x = 523,542,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.