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Finding the Third Proportional to 831,125 and 1,109,203

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Solution

The third proportional to 831,125 and 1,109,203 is: 1,480,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,125 : 1,109,203 = 1,109,203 : x
  2. Step 2: Convert to fraction form
    831,125/1,109,203 = 1,109,203/x
  3. Step 3: Cross multiply
    831,125x = 1,109,203 × 1,109,203
  4. Step 4: Simplify right side
    831,125x = 1,230,331,295,209
  5. Step 5: Solve for x
    x = 1,230,331,295,209/831,125
  6. Step 6: Final answer
    x = 1,480,320.40

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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.