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Finding the Third Proportional to 276,590 and 417,428

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Solution

The third proportional to 276,590 and 417,428 is: 629,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,590 : 417,428 = 417,428 : x
  2. Step 2: Convert to fraction form
    276,590/417,428 = 417,428/x
  3. Step 3: Cross multiply
    276,590x = 417,428 × 417,428
  4. Step 4: Simplify right side
    276,590x = 174,246,135,184
  5. Step 5: Solve for x
    x = 174,246,135,184/276,590
  6. Step 6: Final answer
    x = 629,979.88

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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.