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Finding the Third Proportional to 312,216 and 736,781

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Solution

The third proportional to 312,216 and 736,781 is: 1,738,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,216 : 736,781 = 736,781 : x
  2. Step 2: Convert to fraction form
    312,216/736,781 = 736,781/x
  3. Step 3: Cross multiply
    312,216x = 736,781 × 736,781
  4. Step 4: Simplify right side
    312,216x = 542,846,241,961
  5. Step 5: Solve for x
    x = 542,846,241,961/312,216
  6. Step 6: Final answer
    x = 1,738,688.09

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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.