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Finding the Third Proportional to 276,656 and 425,434

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Solution

The third proportional to 276,656 and 425,434 is: 654,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,656 : 425,434 = 425,434 : x
  2. Step 2: Convert to fraction form
    276,656/425,434 = 425,434/x
  3. Step 3: Cross multiply
    276,656x = 425,434 × 425,434
  4. Step 4: Simplify right side
    276,656x = 180,994,088,356
  5. Step 5: Solve for x
    x = 180,994,088,356/276,656
  6. Step 6: Final answer
    x = 654,220.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.