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Finding the Third Proportional to 831,095 and 1,289,412

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Solution

The third proportional to 831,095 and 1,289,412 is: 2,000,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,095 : 1,289,412 = 1,289,412 : x
  2. Step 2: Convert to fraction form
    831,095/1,289,412 = 1,289,412/x
  3. Step 3: Cross multiply
    831,095x = 1,289,412 × 1,289,412
  4. Step 4: Simplify right side
    831,095x = 1,662,583,305,744
  5. Step 5: Solve for x
    x = 1,662,583,305,744/831,095
  6. Step 6: Final answer
    x = 2,000,473.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.