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Finding the Third Proportional to 276,593 and 417,432

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Solution

The third proportional to 276,593 and 417,432 is: 629,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,593 : 417,432 = 417,432 : x
  2. Step 2: Convert to fraction form
    276,593/417,432 = 417,432/x
  3. Step 3: Cross multiply
    276,593x = 417,432 × 417,432
  4. Step 4: Simplify right side
    276,593x = 174,249,474,624
  5. Step 5: Solve for x
    x = 174,249,474,624/276,593
  6. Step 6: Final answer
    x = 629,985.12

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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.