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Finding the Third Proportional to 276,324 and 426,702

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Solution

The third proportional to 276,324 and 426,702 is: 658,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,324 : 426,702 = 426,702 : x
  2. Step 2: Convert to fraction form
    276,324/426,702 = 426,702/x
  3. Step 3: Cross multiply
    276,324x = 426,702 × 426,702
  4. Step 4: Simplify right side
    276,324x = 182,074,596,804
  5. Step 5: Solve for x
    x = 182,074,596,804/276,324
  6. Step 6: Final answer
    x = 658,917.06

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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.