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Finding the Third Proportional to 831,913.50 and 1,277,921

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Solution

The third proportional to 831,913.50 and 1,277,921 is: 1,963,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,913.50 : 1,277,921 = 1,277,921 : x
  2. Step 2: Convert to fraction form
    831,913.50/1,277,921 = 1,277,921/x
  3. Step 3: Cross multiply
    831,913.50x = 1,277,921 × 1,277,921
  4. Step 4: Simplify right side
    831,913.50x = 1,633,082,082,241
  5. Step 5: Solve for x
    x = 1,633,082,082,241/831,913.50
  6. Step 6: Final answer
    x = 1,963,043.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.