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Finding the Third Proportional to 685,410 and 1,475,844

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Solution

The third proportional to 685,410 and 1,475,844 is: 3,177,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,410 : 1,475,844 = 1,475,844 : x
  2. Step 2: Convert to fraction form
    685,410/1,475,844 = 1,475,844/x
  3. Step 3: Cross multiply
    685,410x = 1,475,844 × 1,475,844
  4. Step 4: Simplify right side
    685,410x = 2,178,115,512,336
  5. Step 5: Solve for x
    x = 2,178,115,512,336/685,410
  6. Step 6: Final answer
    x = 3,177,828.62

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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.