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Finding the Third Proportional to 379,320 and 878,148

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Solution

The third proportional to 379,320 and 878,148 is: 2,032,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,320 : 878,148 = 878,148 : x
  2. Step 2: Convert to fraction form
    379,320/878,148 = 878,148/x
  3. Step 3: Cross multiply
    379,320x = 878,148 × 878,148
  4. Step 4: Simplify right side
    379,320x = 771,143,909,904
  5. Step 5: Solve for x
    x = 771,143,909,904/379,320
  6. Step 6: Final answer
    x = 2,032,964.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.