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Finding the Third Proportional to 587,136 and 816,960

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Solution

The third proportional to 587,136 and 816,960 is: 1,136,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,136 : 816,960 = 816,960 : x
  2. Step 2: Convert to fraction form
    587,136/816,960 = 816,960/x
  3. Step 3: Cross multiply
    587,136x = 816,960 × 816,960
  4. Step 4: Simplify right side
    587,136x = 667,423,641,600
  5. Step 5: Solve for x
    x = 667,423,641,600/587,136
  6. Step 6: Final answer
    x = 1,136,744.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.