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Finding the Third Proportional to 171,417.52 and 261,477.49

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Solution

The third proportional to 171,417.52 and 261,477.49 is: 398,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,417.52 : 261,477.49 = 261,477.49 : x
  2. Step 2: Convert to fraction form
    171,417.52/261,477.49 = 261,477.49/x
  3. Step 3: Cross multiply
    171,417.52x = 261,477.49 × 261,477.49
  4. Step 4: Simplify right side
    171,417.52x = 68,370,478,920.66
  5. Step 5: Solve for x
    x = 68,370,478,920.66/171,417.52
  6. Step 6: Final answer
    x = 398,853.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.