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Finding the Third Proportional to 628,962 and 837,981

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Solution

The third proportional to 628,962 and 837,981 is: 1,116,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,962 : 837,981 = 837,981 : x
  2. Step 2: Convert to fraction form
    628,962/837,981 = 837,981/x
  3. Step 3: Cross multiply
    628,962x = 837,981 × 837,981
  4. Step 4: Simplify right side
    628,962x = 702,212,156,361
  5. Step 5: Solve for x
    x = 702,212,156,361/628,962
  6. Step 6: Final answer
    x = 1,116,461.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.