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Finding the Third Proportional to 399,552 and 872,733

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Solution

The third proportional to 399,552 and 872,733 is: 1,906,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,552 : 872,733 = 872,733 : x
  2. Step 2: Convert to fraction form
    399,552/872,733 = 872,733/x
  3. Step 3: Cross multiply
    399,552x = 872,733 × 872,733
  4. Step 4: Simplify right side
    399,552x = 761,662,889,289
  5. Step 5: Solve for x
    x = 761,662,889,289/399,552
  6. Step 6: Final answer
    x = 1,906,292.27

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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.