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Finding the Third Proportional to 402,273.50 and 554,135

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Solution

The third proportional to 402,273.50 and 554,135 is: 763,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,273.50 : 554,135 = 554,135 : x
  2. Step 2: Convert to fraction form
    402,273.50/554,135 = 554,135/x
  3. Step 3: Cross multiply
    402,273.50x = 554,135 × 554,135
  4. Step 4: Simplify right side
    402,273.50x = 307,065,598,225
  5. Step 5: Solve for x
    x = 307,065,598,225/402,273.50
  6. Step 6: Final answer
    x = 763,325.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.