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Finding the Third Proportional to 540,960 and 840,918

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Solution

The third proportional to 540,960 and 840,918 is: 1,307,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,960 : 840,918 = 840,918 : x
  2. Step 2: Convert to fraction form
    540,960/840,918 = 840,918/x
  3. Step 3: Cross multiply
    540,960x = 840,918 × 840,918
  4. Step 4: Simplify right side
    540,960x = 707,143,082,724
  5. Step 5: Solve for x
    x = 707,143,082,724/540,960
  6. Step 6: Final answer
    x = 1,307,200.32

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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.