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Finding the Third Proportional to 401,466 and 872,264

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Solution

The third proportional to 401,466 and 872,264 is: 1,895,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,466 : 872,264 = 872,264 : x
  2. Step 2: Convert to fraction form
    401,466/872,264 = 872,264/x
  3. Step 3: Cross multiply
    401,466x = 872,264 × 872,264
  4. Step 4: Simplify right side
    401,466x = 760,844,485,696
  5. Step 5: Solve for x
    x = 760,844,485,696/401,466
  6. Step 6: Final answer
    x = 1,895,165.43

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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.