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Finding the Third Proportional to 540,928 and 840,872

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Solution

The third proportional to 540,928 and 840,872 is: 1,307,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,928 : 840,872 = 840,872 : x
  2. Step 2: Convert to fraction form
    540,928/840,872 = 840,872/x
  3. Step 3: Cross multiply
    540,928x = 840,872 × 840,872
  4. Step 4: Simplify right side
    540,928x = 707,065,720,384
  5. Step 5: Solve for x
    x = 707,065,720,384/540,928
  6. Step 6: Final answer
    x = 1,307,134.63

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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.