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Finding the Third Proportional to 121,382 and 264,066

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Solution

The third proportional to 121,382 and 264,066 is: 574,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,382 : 264,066 = 264,066 : x
  2. Step 2: Convert to fraction form
    121,382/264,066 = 264,066/x
  3. Step 3: Cross multiply
    121,382x = 264,066 × 264,066
  4. Step 4: Simplify right side
    121,382x = 69,730,852,356
  5. Step 5: Solve for x
    x = 69,730,852,356/121,382
  6. Step 6: Final answer
    x = 574,474.41

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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.