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Finding the Third Proportional to 50,397,374 and 78,185,487

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Solution

The third proportional to 50,397,374 and 78,185,487 is: 121,295,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,397,374 : 78,185,487 = 78,185,487 : x
  2. Step 2: Convert to fraction form
    50,397,374/78,185,487 = 78,185,487/x
  3. Step 3: Cross multiply
    50,397,374x = 78,185,487 × 78,185,487
  4. Step 4: Simplify right side
    50,397,374x = 6,112,970,377,427,169
  5. Step 5: Solve for x
    x = 6,112,970,377,427,169/50,397,374
  6. Step 6: Final answer
    x = 121,295,414.67

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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.