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Finding the Third Proportional to 831,862 and 1,287,515

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Solution

The third proportional to 831,862 and 1,287,515 is: 1,992,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,862 : 1,287,515 = 1,287,515 : x
  2. Step 2: Convert to fraction form
    831,862/1,287,515 = 1,287,515/x
  3. Step 3: Cross multiply
    831,862x = 1,287,515 × 1,287,515
  4. Step 4: Simplify right side
    831,862x = 1,657,694,875,225
  5. Step 5: Solve for x
    x = 1,657,694,875,225/831,862
  6. Step 6: Final answer
    x = 1,992,752.25

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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.