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Finding the Third Proportional to 540,920 and 840,864

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Solution

The third proportional to 540,920 and 840,864 is: 1,307,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,920 : 840,864 = 840,864 : x
  2. Step 2: Convert to fraction form
    540,920/840,864 = 840,864/x
  3. Step 3: Cross multiply
    540,920x = 840,864 × 840,864
  4. Step 4: Simplify right side
    540,920x = 707,052,266,496
  5. Step 5: Solve for x
    x = 707,052,266,496/540,920
  6. Step 6: Final answer
    x = 1,307,129.09

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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.