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Finding the Third Proportional to 279,265 and 431,534

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Solution

The third proportional to 279,265 and 431,534 is: 666,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,265 : 431,534 = 431,534 : x
  2. Step 2: Convert to fraction form
    279,265/431,534 = 431,534/x
  3. Step 3: Cross multiply
    279,265x = 431,534 × 431,534
  4. Step 4: Simplify right side
    279,265x = 186,221,593,156
  5. Step 5: Solve for x
    x = 186,221,593,156/279,265
  6. Step 6: Final answer
    x = 666,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.