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Finding the Third Proportional to 121,254 and 263,492

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Solution

The third proportional to 121,254 and 263,492 is: 572,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,254 : 263,492 = 263,492 : x
  2. Step 2: Convert to fraction form
    121,254/263,492 = 263,492/x
  3. Step 3: Cross multiply
    121,254x = 263,492 × 263,492
  4. Step 4: Simplify right side
    121,254x = 69,428,034,064
  5. Step 5: Solve for x
    x = 69,428,034,064/121,254
  6. Step 6: Final answer
    x = 572,583.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.