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Finding the Third Proportional to 540,894 and 840,825

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Solution

The third proportional to 540,894 and 840,825 is: 1,307,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,894 : 840,825 = 840,825 : x
  2. Step 2: Convert to fraction form
    540,894/840,825 = 840,825/x
  3. Step 3: Cross multiply
    540,894x = 840,825 × 840,825
  4. Step 4: Simplify right side
    540,894x = 706,986,680,625
  5. Step 5: Solve for x
    x = 706,986,680,625/540,894
  6. Step 6: Final answer
    x = 1,307,070.67

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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.