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Finding the Third Proportional to 115,445.41 and 172,706.79

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Solution

The third proportional to 115,445.41 and 172,706.79 is: 258,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,445.41 : 172,706.79 = 172,706.79 : x
  2. Step 2: Convert to fraction form
    115,445.41/172,706.79 = 172,706.79/x
  3. Step 3: Cross multiply
    115,445.41x = 172,706.79 × 172,706.79
  4. Step 4: Simplify right side
    115,445.41x = 29,827,636,000.23
  5. Step 5: Solve for x
    x = 29,827,636,000.23/115,445.41
  6. Step 6: Final answer
    x = 258,370.05

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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.