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Finding the Third Proportional to 312,240 and 736,838

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Solution

The third proportional to 312,240 and 736,838 is: 1,738,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,240 : 736,838 = 736,838 : x
  2. Step 2: Convert to fraction form
    312,240/736,838 = 736,838/x
  3. Step 3: Cross multiply
    312,240x = 736,838 × 736,838
  4. Step 4: Simplify right side
    312,240x = 542,930,238,244
  5. Step 5: Solve for x
    x = 542,930,238,244/312,240
  6. Step 6: Final answer
    x = 1,738,823.46

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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.