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Finding the Third Proportional to 349,644 and 766,680

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Solution

The third proportional to 349,644 and 766,680 is: 1,681,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,644 : 766,680 = 766,680 : x
  2. Step 2: Convert to fraction form
    349,644/766,680 = 766,680/x
  3. Step 3: Cross multiply
    349,644x = 766,680 × 766,680
  4. Step 4: Simplify right side
    349,644x = 587,798,222,400
  5. Step 5: Solve for x
    x = 587,798,222,400/349,644
  6. Step 6: Final answer
    x = 1,681,133.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.