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Finding the Third Proportional to 401,728 and 872,576

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Solution

The third proportional to 401,728 and 872,576 is: 1,895,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,728 : 872,576 = 872,576 : x
  2. Step 2: Convert to fraction form
    401,728/872,576 = 872,576/x
  3. Step 3: Cross multiply
    401,728x = 872,576 × 872,576
  4. Step 4: Simplify right side
    401,728x = 761,388,875,776
  5. Step 5: Solve for x
    x = 761,388,875,776/401,728
  6. Step 6: Final answer
    x = 1,895,284.56

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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.