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Finding the Third Proportional to 399,550 and 872,729

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Solution

The third proportional to 399,550 and 872,729 is: 1,906,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,550 : 872,729 = 872,729 : x
  2. Step 2: Convert to fraction form
    399,550/872,729 = 872,729/x
  3. Step 3: Cross multiply
    399,550x = 872,729 × 872,729
  4. Step 4: Simplify right side
    399,550x = 761,655,907,441
  5. Step 5: Solve for x
    x = 761,655,907,441/399,550
  6. Step 6: Final answer
    x = 1,906,284.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.