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Finding the Third Proportional to 581,208 and 872,392

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Solution

The third proportional to 581,208 and 872,392 is: 1,309,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,208 : 872,392 = 872,392 : x
  2. Step 2: Convert to fraction form
    581,208/872,392 = 872,392/x
  3. Step 3: Cross multiply
    581,208x = 872,392 × 872,392
  4. Step 4: Simplify right side
    581,208x = 761,067,801,664
  5. Step 5: Solve for x
    x = 761,067,801,664/581,208
  6. Step 6: Final answer
    x = 1,309,458.58

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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.