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Finding the Third Proportional to 540,715.50 and 815,220

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Solution

The third proportional to 540,715.50 and 815,220 is: 1,229,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,715.50 : 815,220 = 815,220 : x
  2. Step 2: Convert to fraction form
    540,715.50/815,220 = 815,220/x
  3. Step 3: Cross multiply
    540,715.50x = 815,220 × 815,220
  4. Step 4: Simplify right side
    540,715.50x = 664,583,648,400
  5. Step 5: Solve for x
    x = 664,583,648,400/540,715.50
  6. Step 6: Final answer
    x = 1,229,081.93

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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.