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Finding the Third Proportional to 831,220 and 1,789,574

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Solution

The third proportional to 831,220 and 1,789,574 is: 3,852,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,220 : 1,789,574 = 1,789,574 : x
  2. Step 2: Convert to fraction form
    831,220/1,789,574 = 1,789,574/x
  3. Step 3: Cross multiply
    831,220x = 1,789,574 × 1,789,574
  4. Step 4: Simplify right side
    831,220x = 3,202,575,101,476
  5. Step 5: Solve for x
    x = 3,202,575,101,476/831,220
  6. Step 6: Final answer
    x = 3,852,860.98

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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.