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Finding the Third Proportional to 401,472 and 872,928

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Solution

The third proportional to 401,472 and 872,928 is: 1,898,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,472 : 872,928 = 872,928 : x
  2. Step 2: Convert to fraction form
    401,472/872,928 = 872,928/x
  3. Step 3: Cross multiply
    401,472x = 872,928 × 872,928
  4. Step 4: Simplify right side
    401,472x = 762,003,293,184
  5. Step 5: Solve for x
    x = 762,003,293,184/401,472
  6. Step 6: Final answer
    x = 1,898,023.51

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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.