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Finding the Third Proportional to 878,620 and 1,918,376

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Solution

The third proportional to 878,620 and 1,918,376 is: 4,188,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,620 : 1,918,376 = 1,918,376 : x
  2. Step 2: Convert to fraction form
    878,620/1,918,376 = 1,918,376/x
  3. Step 3: Cross multiply
    878,620x = 1,918,376 × 1,918,376
  4. Step 4: Simplify right side
    878,620x = 3,680,166,477,376
  5. Step 5: Solve for x
    x = 3,680,166,477,376/878,620
  6. Step 6: Final answer
    x = 4,188,575.81

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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.