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Finding the Third Proportional to 258,854,487.75 and 349,843,015.13

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Solution

The third proportional to 258,854,487.75 and 349,843,015.13 is: 472,814,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,854,487.75 : 349,843,015.13 = 349,843,015.13 : x
  2. Step 2: Convert to fraction form
    258,854,487.75/349,843,015.13 = 349,843,015.13/x
  3. Step 3: Cross multiply
    258,854,487.75x = 349,843,015.13 × 349,843,015.13
  4. Step 4: Simplify right side
    258,854,487.75x = 122,390,135,231,750,976
  5. Step 5: Solve for x
    x = 122,390,135,231,750,976/258,854,487.75
  6. Step 6: Final answer
    x = 472,814,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.