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Finding the Third Proportional to 872,612 and 1,280,190

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Solution

The third proportional to 872,612 and 1,280,190 is: 1,878,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,612 : 1,280,190 = 1,280,190 : x
  2. Step 2: Convert to fraction form
    872,612/1,280,190 = 1,280,190/x
  3. Step 3: Cross multiply
    872,612x = 1,280,190 × 1,280,190
  4. Step 4: Simplify right side
    872,612x = 1,638,886,436,100
  5. Step 5: Solve for x
    x = 1,638,886,436,100/872,612
  6. Step 6: Final answer
    x = 1,878,138.78

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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.