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Finding the Third Proportional to 540,834 and 840,750

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Solution

The third proportional to 540,834 and 840,750 is: 1,306,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,834 : 840,750 = 840,750 : x
  2. Step 2: Convert to fraction form
    540,834/840,750 = 840,750/x
  3. Step 3: Cross multiply
    540,834x = 840,750 × 840,750
  4. Step 4: Simplify right side
    540,834x = 706,860,562,500
  5. Step 5: Solve for x
    x = 706,860,562,500/540,834
  6. Step 6: Final answer
    x = 1,306,982.48

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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.