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Finding the Third Proportional to 312,066 and 736,420

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Solution

The third proportional to 312,066 and 736,420 is: 1,737,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,066 : 736,420 = 736,420 : x
  2. Step 2: Convert to fraction form
    312,066/736,420 = 736,420/x
  3. Step 3: Cross multiply
    312,066x = 736,420 × 736,420
  4. Step 4: Simplify right side
    312,066x = 542,314,416,400
  5. Step 5: Solve for x
    x = 542,314,416,400/312,066
  6. Step 6: Final answer
    x = 1,737,819.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.