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Finding the Third Proportional to 409,988 and 900,694

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Solution

The third proportional to 409,988 and 900,694 is: 1,978,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,988 : 900,694 = 900,694 : x
  2. Step 2: Convert to fraction form
    409,988/900,694 = 900,694/x
  3. Step 3: Cross multiply
    409,988x = 900,694 × 900,694
  4. Step 4: Simplify right side
    409,988x = 811,249,681,636
  5. Step 5: Solve for x
    x = 811,249,681,636/409,988
  6. Step 6: Final answer
    x = 1,978,715.67

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