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Finding the Third Proportional to 458,328 and 986,871

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Solution

The third proportional to 458,328 and 986,871 is: 2,124,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,328 : 986,871 = 986,871 : x
  2. Step 2: Convert to fraction form
    458,328/986,871 = 986,871/x
  3. Step 3: Cross multiply
    458,328x = 986,871 × 986,871
  4. Step 4: Simplify right side
    458,328x = 973,914,370,641
  5. Step 5: Solve for x
    x = 973,914,370,641/458,328
  6. Step 6: Final answer
    x = 2,124,928.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.