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Finding the Third Proportional to 276,684 and 417,566

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Solution

The third proportional to 276,684 and 417,566 is: 630,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,684 : 417,566 = 417,566 : x
  2. Step 2: Convert to fraction form
    276,684/417,566 = 417,566/x
  3. Step 3: Cross multiply
    276,684x = 417,566 × 417,566
  4. Step 4: Simplify right side
    276,684x = 174,361,364,356
  5. Step 5: Solve for x
    x = 174,361,364,356/276,684
  6. Step 6: Final answer
    x = 630,182.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.