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Finding the Third Proportional to 581,212 and 872,398

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Solution

The third proportional to 581,212 and 872,398 is: 1,309,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,212 : 872,398 = 872,398 : x
  2. Step 2: Convert to fraction form
    581,212/872,398 = 872,398/x
  3. Step 3: Cross multiply
    581,212x = 872,398 × 872,398
  4. Step 4: Simplify right side
    581,212x = 761,078,270,404
  5. Step 5: Solve for x
    x = 761,078,270,404/581,212
  6. Step 6: Final answer
    x = 1,309,467.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.