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Finding the Third Proportional to 685,380 and 1,475,784

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Solution

The third proportional to 685,380 and 1,475,784 is: 3,177,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,380 : 1,475,784 = 1,475,784 : x
  2. Step 2: Convert to fraction form
    685,380/1,475,784 = 1,475,784/x
  3. Step 3: Cross multiply
    685,380x = 1,475,784 × 1,475,784
  4. Step 4: Simplify right side
    685,380x = 2,177,938,414,656
  5. Step 5: Solve for x
    x = 2,177,938,414,656/685,380
  6. Step 6: Final answer
    x = 3,177,709.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.