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Finding the Third Proportional to 78,437,380 and 117,181,446

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Solution

The third proportional to 78,437,380 and 117,181,446 is: 175,063,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,437,380 : 117,181,446 = 117,181,446 : x
  2. Step 2: Convert to fraction form
    78,437,380/117,181,446 = 117,181,446/x
  3. Step 3: Cross multiply
    78,437,380x = 117,181,446 × 117,181,446
  4. Step 4: Simplify right side
    78,437,380x = 13,731,491,286,650,916
  5. Step 5: Solve for x
    x = 13,731,491,286,650,916/78,437,380
  6. Step 6: Final answer
    x = 175,063,104.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.