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Finding the Third Proportional to 540,904 and 840,838

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Solution

The third proportional to 540,904 and 840,838 is: 1,307,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,904 : 840,838 = 840,838 : x
  2. Step 2: Convert to fraction form
    540,904/840,838 = 840,838/x
  3. Step 3: Cross multiply
    540,904x = 840,838 × 840,838
  4. Step 4: Simplify right side
    540,904x = 707,008,542,244
  5. Step 5: Solve for x
    x = 707,008,542,244/540,904
  6. Step 6: Final answer
    x = 1,307,086.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.