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Finding the Third Proportional to 121,587.75 and 181,895.63

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Solution

The third proportional to 121,587.75 and 181,895.63 is: 272,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,587.75 : 181,895.63 = 181,895.63 : x
  2. Step 2: Convert to fraction form
    121,587.75/181,895.63 = 181,895.63/x
  3. Step 3: Cross multiply
    121,587.75x = 181,895.63 × 181,895.63
  4. Step 4: Simplify right side
    121,587.75x = 33,086,018,394.14
  5. Step 5: Solve for x
    x = 33,086,018,394.14/121,587.75
  6. Step 6: Final answer
    x = 272,116.38

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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.