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Finding the Third Proportional to 78,332,887,540 and 117,582,241,026

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Solution

The third proportional to 78,332,887,540 and 117,582,241,026 is: 176,497,813,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,540 : 117,582,241,026 = 117,582,241,026 : x
  2. Step 2: Convert to fraction form
    78,332,887,540/117,582,241,026 = 117,582,241,026/x
  3. Step 3: Cross multiply
    78,332,887,540x = 117,582,241,026 × 117,582,241,026
  4. Step 4: Simplify right side
    78,332,887,540x = 13,825,583,404,696,358,354,944
  5. Step 5: Solve for x
    x = 13,825,583,404,696,358,354,944/78,332,887,540
  6. Step 6: Final answer
    x = 176,497,813,866.96

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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.