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Finding the Third Proportional to 406,404 and 891,576

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Solution

The third proportional to 406,404 and 891,576 is: 1,955,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,404 : 891,576 = 891,576 : x
  2. Step 2: Convert to fraction form
    406,404/891,576 = 891,576/x
  3. Step 3: Cross multiply
    406,404x = 891,576 × 891,576
  4. Step 4: Simplify right side
    406,404x = 794,907,763,776
  5. Step 5: Solve for x
    x = 794,907,763,776/406,404
  6. Step 6: Final answer
    x = 1,955,954.58

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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.