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Finding the Third Proportional to 401,458 and 872,252

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Solution

The third proportional to 401,458 and 872,252 is: 1,895,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,458 : 872,252 = 872,252 : x
  2. Step 2: Convert to fraction form
    401,458/872,252 = 872,252/x
  3. Step 3: Cross multiply
    401,458x = 872,252 × 872,252
  4. Step 4: Simplify right side
    401,458x = 760,823,551,504
  5. Step 5: Solve for x
    x = 760,823,551,504/401,458
  6. Step 6: Final answer
    x = 1,895,151.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.