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Finding the Third Proportional to 137,432,475 and 296,384,544

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Solution

The third proportional to 137,432,475 and 296,384,544 is: 639,177,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,432,475 : 296,384,544 = 296,384,544 : x
  2. Step 2: Convert to fraction form
    137,432,475/296,384,544 = 296,384,544/x
  3. Step 3: Cross multiply
    137,432,475x = 296,384,544 × 296,384,544
  4. Step 4: Simplify right side
    137,432,475x = 87,843,797,922,087,936
  5. Step 5: Solve for x
    x = 87,843,797,922,087,936/137,432,475
  6. Step 6: Final answer
    x = 639,177,879.33

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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.