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Finding the Third Proportional to 276,374 and 399,495

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Solution

The third proportional to 276,374 and 399,495 is: 577,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,374 : 399,495 = 399,495 : x
  2. Step 2: Convert to fraction form
    276,374/399,495 = 399,495/x
  3. Step 3: Cross multiply
    276,374x = 399,495 × 399,495
  4. Step 4: Simplify right side
    276,374x = 159,596,255,025
  5. Step 5: Solve for x
    x = 159,596,255,025/276,374
  6. Step 6: Final answer
    x = 577,464.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.