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Finding the Third Proportional to 400,075 and 872,051

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Solution

The third proportional to 400,075 and 872,051 is: 1,900,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,075 : 872,051 = 872,051 : x
  2. Step 2: Convert to fraction form
    400,075/872,051 = 872,051/x
  3. Step 3: Cross multiply
    400,075x = 872,051 × 872,051
  4. Step 4: Simplify right side
    400,075x = 760,472,946,601
  5. Step 5: Solve for x
    x = 760,472,946,601/400,075
  6. Step 6: Final answer
    x = 1,900,825.96

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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.