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Finding the Third Proportional to 115,614 and 172,948.50

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Solution

The third proportional to 115,614 and 172,948.50 is: 258,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614 : 172,948.50 = 172,948.50 : x
  2. Step 2: Convert to fraction form
    115,614/172,948.50 = 172,948.50/x
  3. Step 3: Cross multiply
    115,614x = 172,948.50 × 172,948.50
  4. Step 4: Simplify right side
    115,614x = 29,911,183,652.25
  5. Step 5: Solve for x
    x = 29,911,183,652.25/115,614
  6. Step 6: Final answer
    x = 258,715.93

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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.