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Finding the Third Proportional to 312,240 and 686,688

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Solution

The third proportional to 312,240 and 686,688 is: 1,510,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,240 : 686,688 = 686,688 : x
  2. Step 2: Convert to fraction form
    312,240/686,688 = 686,688/x
  3. Step 3: Cross multiply
    312,240x = 686,688 × 686,688
  4. Step 4: Simplify right side
    312,240x = 471,540,409,344
  5. Step 5: Solve for x
    x = 471,540,409,344/312,240
  6. Step 6: Final answer
    x = 1,510,185.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.