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Finding the Third Proportional to 276,850.50 and 424,417.50

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Solution

The third proportional to 276,850.50 and 424,417.50 is: 650,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,850.50 : 424,417.50 = 424,417.50 : x
  2. Step 2: Convert to fraction form
    276,850.50/424,417.50 = 424,417.50/x
  3. Step 3: Cross multiply
    276,850.50x = 424,417.50 × 424,417.50
  4. Step 4: Simplify right side
    276,850.50x = 180,130,214,306.25
  5. Step 5: Solve for x
    x = 180,130,214,306.25/276,850.50
  6. Step 6: Final answer
    x = 650,640.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.