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Finding the Third Proportional to 401,066 and 891,792

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Solution

The third proportional to 401,066 and 891,792 is: 1,982,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066 : 891,792 = 891,792 : x
  2. Step 2: Convert to fraction form
    401,066/891,792 = 891,792/x
  3. Step 3: Cross multiply
    401,066x = 891,792 × 891,792
  4. Step 4: Simplify right side
    401,066x = 795,292,971,264
  5. Step 5: Solve for x
    x = 795,292,971,264/401,066
  6. Step 6: Final answer
    x = 1,982,947.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.