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Finding the Third Proportional to 49,354,302 and 78,813,696

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Solution

The third proportional to 49,354,302 and 78,813,696 is: 125,857,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,354,302 : 78,813,696 = 78,813,696 : x
  2. Step 2: Convert to fraction form
    49,354,302/78,813,696 = 78,813,696/x
  3. Step 3: Cross multiply
    49,354,302x = 78,813,696 × 78,813,696
  4. Step 4: Simplify right side
    49,354,302x = 6,211,598,677,180,416
  5. Step 5: Solve for x
    x = 6,211,598,677,180,416/49,354,302
  6. Step 6: Final answer
    x = 125,857,289.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.