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Finding the Third Proportional to 867,420 and 1,353,591

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Solution

The third proportional to 867,420 and 1,353,591 is: 2,112,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,420 : 1,353,591 = 1,353,591 : x
  2. Step 2: Convert to fraction form
    867,420/1,353,591 = 1,353,591/x
  3. Step 3: Cross multiply
    867,420x = 1,353,591 × 1,353,591
  4. Step 4: Simplify right side
    867,420x = 1,832,208,595,281
  5. Step 5: Solve for x
    x = 1,832,208,595,281/867,420
  6. Step 6: Final answer
    x = 2,112,250.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.