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Finding the Third Proportional to 121,903.31 and 161,752.78

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Solution

The third proportional to 121,903.31 and 161,752.78 is: 214,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,903.31 : 161,752.78 = 161,752.78 : x
  2. Step 2: Convert to fraction form
    121,903.31/161,752.78 = 161,752.78/x
  3. Step 3: Cross multiply
    121,903.31x = 161,752.78 × 161,752.78
  4. Step 4: Simplify right side
    121,903.31x = 26,163,962,242.11
  5. Step 5: Solve for x
    x = 26,163,962,242.11/121,903.31
  6. Step 6: Final answer
    x = 214,628.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.