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Finding the Third Proportional to 121,506.75 and 178,156.13

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Solution

The third proportional to 121,506.75 and 178,156.13 is: 261,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.75 : 178,156.13 = 178,156.13 : x
  2. Step 2: Convert to fraction form
    121,506.75/178,156.13 = 178,156.13/x
  3. Step 3: Cross multiply
    121,506.75x = 178,156.13 × 178,156.13
  4. Step 4: Simplify right side
    121,506.75x = 31,739,604,875.02
  5. Step 5: Solve for x
    x = 31,739,604,875.02/121,506.75
  6. Step 6: Final answer
    x = 261,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.