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Finding the Third Proportional to 409,356 and 899,084

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Solution

The third proportional to 409,356 and 899,084 is: 1,974,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,356 : 899,084 = 899,084 : x
  2. Step 2: Convert to fraction form
    409,356/899,084 = 899,084/x
  3. Step 3: Cross multiply
    409,356x = 899,084 × 899,084
  4. Step 4: Simplify right side
    409,356x = 808,352,039,056
  5. Step 5: Solve for x
    x = 808,352,039,056/409,356
  6. Step 6: Final answer
    x = 1,974,692.05

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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.