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Finding the Third Proportional to 402,693 and 867,102

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Solution

The third proportional to 402,693 and 867,102 is: 1,867,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,693 : 867,102 = 867,102 : x
  2. Step 2: Convert to fraction form
    402,693/867,102 = 867,102/x
  3. Step 3: Cross multiply
    402,693x = 867,102 × 867,102
  4. Step 4: Simplify right side
    402,693x = 751,865,878,404
  5. Step 5: Solve for x
    x = 751,865,878,404/402,693
  6. Step 6: Final answer
    x = 1,867,094.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.