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Finding the Third Proportional to 409,994 and 900,706

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Solution

The third proportional to 409,994 and 900,706 is: 1,978,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,994 : 900,706 = 900,706 : x
  2. Step 2: Convert to fraction form
    409,994/900,706 = 900,706/x
  3. Step 3: Cross multiply
    409,994x = 900,706 × 900,706
  4. Step 4: Simplify right side
    409,994x = 811,271,298,436
  5. Step 5: Solve for x
    x = 811,271,298,436/409,994
  6. Step 6: Final answer
    x = 1,978,739.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.