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Finding the Third Proportional to 400,075 and 872,047

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Solution

The third proportional to 400,075 and 872,047 is: 1,900,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,075 : 872,047 = 872,047 : x
  2. Step 2: Convert to fraction form
    400,075/872,047 = 872,047/x
  3. Step 3: Cross multiply
    400,075x = 872,047 × 872,047
  4. Step 4: Simplify right side
    400,075x = 760,465,970,209
  5. Step 5: Solve for x
    x = 760,465,970,209/400,075
  6. Step 6: Final answer
    x = 1,900,808.52

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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.