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Finding the Third Proportional to 80,706,115 and 113,246,661.50

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Solution

The third proportional to 80,706,115 and 113,246,661.50 is: 158,907,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706,115 : 113,246,661.50 = 113,246,661.50 : x
  2. Step 2: Convert to fraction form
    80,706,115/113,246,661.50 = 113,246,661.50/x
  3. Step 3: Cross multiply
    80,706,115x = 113,246,661.50 × 113,246,661.50
  4. Step 4: Simplify right side
    80,706,115x = 12,824,806,340,895,582
  5. Step 5: Solve for x
    x = 12,824,806,340,895,582/80,706,115
  6. Step 6: Final answer
    x = 158,907,492.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.