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Finding the Third Proportional to 878,642 and 1,918,420

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Solution

The third proportional to 878,642 and 1,918,420 is: 4,188,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,642 : 1,918,420 = 1,918,420 : x
  2. Step 2: Convert to fraction form
    878,642/1,918,420 = 1,918,420/x
  3. Step 3: Cross multiply
    878,642x = 1,918,420 × 1,918,420
  4. Step 4: Simplify right side
    878,642x = 3,680,335,296,400
  5. Step 5: Solve for x
    x = 3,680,335,296,400/878,642
  6. Step 6: Final answer
    x = 4,188,663.07

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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.