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Finding the Third Proportional to 365,546 and 545,287

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Solution

The third proportional to 365,546 and 545,287 is: 813,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,546 : 545,287 = 545,287 : x
  2. Step 2: Convert to fraction form
    365,546/545,287 = 545,287/x
  3. Step 3: Cross multiply
    365,546x = 545,287 × 545,287
  4. Step 4: Simplify right side
    365,546x = 297,337,912,369
  5. Step 5: Solve for x
    x = 297,337,912,369/365,546
  6. Step 6: Final answer
    x = 813,407.65

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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.