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Finding the Third Proportional to 878,027 and 1,780,276

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Solution

The third proportional to 878,027 and 1,780,276 is: 3,609,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,027 : 1,780,276 = 1,780,276 : x
  2. Step 2: Convert to fraction form
    878,027/1,780,276 = 1,780,276/x
  3. Step 3: Cross multiply
    878,027x = 1,780,276 × 1,780,276
  4. Step 4: Simplify right side
    878,027x = 3,169,382,636,176
  5. Step 5: Solve for x
    x = 3,169,382,636,176/878,027
  6. Step 6: Final answer
    x = 3,609,664.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.