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Finding the Third Proportional to 363,085 and 542,440

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Solution

The third proportional to 363,085 and 542,440 is: 810,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,085 : 542,440 = 542,440 : x
  2. Step 2: Convert to fraction form
    363,085/542,440 = 542,440/x
  3. Step 3: Cross multiply
    363,085x = 542,440 × 542,440
  4. Step 4: Simplify right side
    363,085x = 294,241,153,600
  5. Step 5: Solve for x
    x = 294,241,153,600/363,085
  6. Step 6: Final answer
    x = 810,391.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.