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Finding the Third Proportional to 115,413 and 172,657

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Solution

The third proportional to 115,413 and 172,657 is: 258,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,413 : 172,657 = 172,657 : x
  2. Step 2: Convert to fraction form
    115,413/172,657 = 172,657/x
  3. Step 3: Cross multiply
    115,413x = 172,657 × 172,657
  4. Step 4: Simplify right side
    115,413x = 29,810,439,649
  5. Step 5: Solve for x
    x = 29,810,439,649/115,413
  6. Step 6: Final answer
    x = 258,293.60

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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.