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Finding the Third Proportional to 831,690 and 1,750,320

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Solution

The third proportional to 831,690 and 1,750,320 is: 3,683,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,690 : 1,750,320 = 1,750,320 : x
  2. Step 2: Convert to fraction form
    831,690/1,750,320 = 1,750,320/x
  3. Step 3: Cross multiply
    831,690x = 1,750,320 × 1,750,320
  4. Step 4: Simplify right side
    831,690x = 3,063,620,102,400
  5. Step 5: Solve for x
    x = 3,063,620,102,400/831,690
  6. Step 6: Final answer
    x = 3,683,608.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.