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Finding the Third Proportional to 767,196 and 1,135,920

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Solution

The third proportional to 767,196 and 1,135,920 is: 1,681,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,196 : 1,135,920 = 1,135,920 : x
  2. Step 2: Convert to fraction form
    767,196/1,135,920 = 1,135,920/x
  3. Step 3: Cross multiply
    767,196x = 1,135,920 × 1,135,920
  4. Step 4: Simplify right side
    767,196x = 1,290,314,246,400
  5. Step 5: Solve for x
    x = 1,290,314,246,400/767,196
  6. Step 6: Final answer
    x = 1,681,857.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.