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Finding the Third Proportional to 258,508 and 386,218.50

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Solution

The third proportional to 258,508 and 386,218.50 is: 577,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,508 : 386,218.50 = 386,218.50 : x
  2. Step 2: Convert to fraction form
    258,508/386,218.50 = 386,218.50/x
  3. Step 3: Cross multiply
    258,508x = 386,218.50 × 386,218.50
  4. Step 4: Simplify right side
    258,508x = 149,164,729,742.25
  5. Step 5: Solve for x
    x = 149,164,729,742.25/258,508
  6. Step 6: Final answer
    x = 577,021.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.