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Finding the Third Proportional to 121,588 and 267,724

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Solution

The third proportional to 121,588 and 267,724 is: 589,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,588 : 267,724 = 267,724 : x
  2. Step 2: Convert to fraction form
    121,588/267,724 = 267,724/x
  3. Step 3: Cross multiply
    121,588x = 267,724 × 267,724
  4. Step 4: Simplify right side
    121,588x = 71,676,140,176
  5. Step 5: Solve for x
    x = 71,676,140,176/121,588
  6. Step 6: Final answer
    x = 589,500.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.