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Finding the Third Proportional to 540,828 and 840,740

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Solution

The third proportional to 540,828 and 840,740 is: 1,306,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,828 : 840,740 = 840,740 : x
  2. Step 2: Convert to fraction form
    540,828/840,740 = 840,740/x
  3. Step 3: Cross multiply
    540,828x = 840,740 × 840,740
  4. Step 4: Simplify right side
    540,828x = 706,843,747,600
  5. Step 5: Solve for x
    x = 706,843,747,600/540,828
  6. Step 6: Final answer
    x = 1,306,965.89

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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.