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Finding the Third Proportional to 270,420 and 420,912

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Solution

The third proportional to 270,420 and 420,912 is: 655,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,420 : 420,912 = 420,912 : x
  2. Step 2: Convert to fraction form
    270,420/420,912 = 420,912/x
  3. Step 3: Cross multiply
    270,420x = 420,912 × 420,912
  4. Step 4: Simplify right side
    270,420x = 177,166,911,744
  5. Step 5: Solve for x
    x = 177,166,911,744/270,420
  6. Step 6: Final answer
    x = 655,154.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.