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Finding the Third Proportional to 458,890 and 984,209

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Solution

The third proportional to 458,890 and 984,209 is: 2,110,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,890 : 984,209 = 984,209 : x
  2. Step 2: Convert to fraction form
    458,890/984,209 = 984,209/x
  3. Step 3: Cross multiply
    458,890x = 984,209 × 984,209
  4. Step 4: Simplify right side
    458,890x = 968,667,355,681
  5. Step 5: Solve for x
    x = 968,667,355,681/458,890
  6. Step 6: Final answer
    x = 2,110,892.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.