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Finding the Third Proportional to 540,915 and 840,861

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Solution

The third proportional to 540,915 and 840,861 is: 1,307,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,915 : 840,861 = 840,861 : x
  2. Step 2: Convert to fraction form
    540,915/840,861 = 840,861/x
  3. Step 3: Cross multiply
    540,915x = 840,861 × 840,861
  4. Step 4: Simplify right side
    540,915x = 707,047,221,321
  5. Step 5: Solve for x
    x = 707,047,221,321/540,915
  6. Step 6: Final answer
    x = 1,307,131.84

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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.