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Finding the Third Proportional to 92,480,829.75 and 198,911,976.75

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Solution

The third proportional to 92,480,829.75 and 198,911,976.75 is: 427,828,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,480,829.75 : 198,911,976.75 = 198,911,976.75 : x
  2. Step 2: Convert to fraction form
    92,480,829.75/198,911,976.75 = 198,911,976.75/x
  3. Step 3: Cross multiply
    92,480,829.75x = 198,911,976.75 × 198,911,976.75
  4. Step 4: Simplify right side
    92,480,829.75x = 39,565,974,494,592,544
  5. Step 5: Solve for x
    x = 39,565,974,494,592,544/92,480,829.75
  6. Step 6: Final answer
    x = 427,828,930.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.