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Finding the Third Proportional to 802,216 and 1,748,366

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Solution

The third proportional to 802,216 and 1,748,366 is: 3,810,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,216 : 1,748,366 = 1,748,366 : x
  2. Step 2: Convert to fraction form
    802,216/1,748,366 = 1,748,366/x
  3. Step 3: Cross multiply
    802,216x = 1,748,366 × 1,748,366
  4. Step 4: Simplify right side
    802,216x = 3,056,783,669,956
  5. Step 5: Solve for x
    x = 3,056,783,669,956/802,216
  6. Step 6: Final answer
    x = 3,810,424.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.