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Finding the Third Proportional to 872,640 and 1,280,232

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Solution

The third proportional to 872,640 and 1,280,232 is: 1,878,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,640 : 1,280,232 = 1,280,232 : x
  2. Step 2: Convert to fraction form
    872,640/1,280,232 = 1,280,232/x
  3. Step 3: Cross multiply
    872,640x = 1,280,232 × 1,280,232
  4. Step 4: Simplify right side
    872,640x = 1,638,993,973,824
  5. Step 5: Solve for x
    x = 1,638,993,973,824/872,640
  6. Step 6: Final answer
    x = 1,878,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.