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Finding the Third Proportional to 70,821 and 147,420

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Solution

The third proportional to 70,821 and 147,420 is: 306,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821 : 147,420 = 147,420 : x
  2. Step 2: Convert to fraction form
    70,821/147,420 = 147,420/x
  3. Step 3: Cross multiply
    70,821x = 147,420 × 147,420
  4. Step 4: Simplify right side
    70,821x = 21,732,656,400
  5. Step 5: Solve for x
    x = 21,732,656,400/70,821
  6. Step 6: Final answer
    x = 306,867.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.