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Finding the Third Proportional to 576,515 and 842,556

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Solution

The third proportional to 576,515 and 842,556 is: 1,231,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,515 : 842,556 = 842,556 : x
  2. Step 2: Convert to fraction form
    576,515/842,556 = 842,556/x
  3. Step 3: Cross multiply
    576,515x = 842,556 × 842,556
  4. Step 4: Simplify right side
    576,515x = 709,900,613,136
  5. Step 5: Solve for x
    x = 709,900,613,136/576,515
  6. Step 6: Final answer
    x = 1,231,365.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.