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Finding the Third Proportional to 158,279,317,508 and 341,352,846,472

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Solution

The third proportional to 158,279,317,508 and 341,352,846,472 is: 736,178,090,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,279,317,508 : 341,352,846,472 = 341,352,846,472 : x
  2. Step 2: Convert to fraction form
    158,279,317,508/341,352,846,472 = 341,352,846,472/x
  3. Step 3: Cross multiply
    158,279,317,508x = 341,352,846,472 × 341,352,846,472
  4. Step 4: Simplify right side
    158,279,317,508x = 116,521,765,794,536,801,435,648
  5. Step 5: Solve for x
    x = 116,521,765,794,536,801,435,648/158,279,317,508
  6. Step 6: Final answer
    x = 736,178,090,916.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.