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Finding the Third Proportional to 121,371 and 264,045

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Solution

The third proportional to 121,371 and 264,045 is: 574,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,371 : 264,045 = 264,045 : x
  2. Step 2: Convert to fraction form
    121,371/264,045 = 264,045/x
  3. Step 3: Cross multiply
    121,371x = 264,045 × 264,045
  4. Step 4: Simplify right side
    121,371x = 69,719,762,025
  5. Step 5: Solve for x
    x = 69,719,762,025/121,371
  6. Step 6: Final answer
    x = 574,435.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.