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Finding the Third Proportional to 831,283 and 1,338,724

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Solution

The third proportional to 831,283 and 1,338,724 is: 2,155,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,283 : 1,338,724 = 1,338,724 : x
  2. Step 2: Convert to fraction form
    831,283/1,338,724 = 1,338,724/x
  3. Step 3: Cross multiply
    831,283x = 1,338,724 × 1,338,724
  4. Step 4: Simplify right side
    831,283x = 1,792,181,948,176
  5. Step 5: Solve for x
    x = 1,792,181,948,176/831,283
  6. Step 6: Final answer
    x = 2,155,922.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.