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Finding the Third Proportional to 116,329,098 and 180,127,696.50

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Solution

The third proportional to 116,329,098 and 180,127,696.50 is: 278,915,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,329,098 : 180,127,696.50 = 180,127,696.50 : x
  2. Step 2: Convert to fraction form
    116,329,098/180,127,696.50 = 180,127,696.50/x
  3. Step 3: Cross multiply
    116,329,098x = 180,127,696.50 × 180,127,696.50
  4. Step 4: Simplify right side
    116,329,098x = 32,445,987,046,396,112
  5. Step 5: Solve for x
    x = 32,445,987,046,396,112/116,329,098
  6. Step 6: Final answer
    x = 278,915,487.22

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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.