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Finding the Third Proportional to 121,074 and 264,270

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Solution

The third proportional to 121,074 and 264,270 is: 576,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074 : 264,270 = 264,270 : x
  2. Step 2: Convert to fraction form
    121,074/264,270 = 264,270/x
  3. Step 3: Cross multiply
    121,074x = 264,270 × 264,270
  4. Step 4: Simplify right side
    121,074x = 69,838,632,900
  5. Step 5: Solve for x
    x = 69,838,632,900/121,074
  6. Step 6: Final answer
    x = 576,826.01

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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.