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Finding the Third Proportional to 831,721 and 1,253,495

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Solution

The third proportional to 831,721 and 1,253,495 is: 1,889,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,721 : 1,253,495 = 1,253,495 : x
  2. Step 2: Convert to fraction form
    831,721/1,253,495 = 1,253,495/x
  3. Step 3: Cross multiply
    831,721x = 1,253,495 × 1,253,495
  4. Step 4: Simplify right side
    831,721x = 1,571,249,715,025
  5. Step 5: Solve for x
    x = 1,571,249,715,025/831,721
  6. Step 6: Final answer
    x = 1,889,154.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.