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Finding the Third Proportional to 210,912 and 454,080

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Solution

The third proportional to 210,912 and 454,080 is: 977,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,912 : 454,080 = 454,080 : x
  2. Step 2: Convert to fraction form
    210,912/454,080 = 454,080/x
  3. Step 3: Cross multiply
    210,912x = 454,080 × 454,080
  4. Step 4: Simplify right side
    210,912x = 206,188,646,400
  5. Step 5: Solve for x
    x = 206,188,646,400/210,912
  6. Step 6: Final answer
    x = 977,605.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.