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Finding the Third Proportional to 121,848 and 177,588

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Solution

The third proportional to 121,848 and 177,588 is: 258,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,848 : 177,588 = 177,588 : x
  2. Step 2: Convert to fraction form
    121,848/177,588 = 177,588/x
  3. Step 3: Cross multiply
    121,848x = 177,588 × 177,588
  4. Step 4: Simplify right side
    121,848x = 31,537,497,744
  5. Step 5: Solve for x
    x = 31,537,497,744/121,848
  6. Step 6: Final answer
    x = 258,826.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.