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Finding the Third Proportional to 78,640,314 and 117,960,482

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Solution

The third proportional to 78,640,314 and 117,960,482 is: 176,940,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640,314 : 117,960,482 = 117,960,482 : x
  2. Step 2: Convert to fraction form
    78,640,314/117,960,482 = 117,960,482/x
  3. Step 3: Cross multiply
    78,640,314x = 117,960,482 × 117,960,482
  4. Step 4: Simplify right side
    78,640,314x = 13,914,675,313,672,324
  5. Step 5: Solve for x
    x = 13,914,675,313,672,324/78,640,314
  6. Step 6: Final answer
    x = 176,940,739.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.