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Finding the Third Proportional to 831,873 and 1,284,492

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Solution

The third proportional to 831,873 and 1,284,492 is: 1,983,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,873 : 1,284,492 = 1,284,492 : x
  2. Step 2: Convert to fraction form
    831,873/1,284,492 = 1,284,492/x
  3. Step 3: Cross multiply
    831,873x = 1,284,492 × 1,284,492
  4. Step 4: Simplify right side
    831,873x = 1,649,919,698,064
  5. Step 5: Solve for x
    x = 1,649,919,698,064/831,873
  6. Step 6: Final answer
    x = 1,983,379.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.