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Finding the Third Proportional to 121,276 and 264,578

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Solution

The third proportional to 121,276 and 264,578 is: 577,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,276 : 264,578 = 264,578 : x
  2. Step 2: Convert to fraction form
    121,276/264,578 = 264,578/x
  3. Step 3: Cross multiply
    121,276x = 264,578 × 264,578
  4. Step 4: Simplify right side
    121,276x = 70,001,518,084
  5. Step 5: Solve for x
    x = 70,001,518,084/121,276
  6. Step 6: Final answer
    x = 577,208.34

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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.