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Finding the Third Proportional to 121,695.75 and 181,530.28

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Solution

The third proportional to 121,695.75 and 181,530.28 is: 270,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,695.75 : 181,530.28 = 181,530.28 : x
  2. Step 2: Convert to fraction form
    121,695.75/181,530.28 = 181,530.28/x
  3. Step 3: Cross multiply
    121,695.75x = 181,530.28 × 181,530.28
  4. Step 4: Simplify right side
    121,695.75x = 32,953,243,010.70
  5. Step 5: Solve for x
    x = 32,953,243,010.70/121,695.75
  6. Step 6: Final answer
    x = 270,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.