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Finding the Third Proportional to 398,640 and 872,028

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Solution

The third proportional to 398,640 and 872,028 is: 1,907,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,640 : 872,028 = 872,028 : x
  2. Step 2: Convert to fraction form
    398,640/872,028 = 872,028/x
  3. Step 3: Cross multiply
    398,640x = 872,028 × 872,028
  4. Step 4: Simplify right side
    398,640x = 760,432,832,784
  5. Step 5: Solve for x
    x = 760,432,832,784/398,640
  6. Step 6: Final answer
    x = 1,907,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.