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Finding the Third Proportional to 207,912 and 450,789

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Solution

The third proportional to 207,912 and 450,789 is: 977,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,912 : 450,789 = 450,789 : x
  2. Step 2: Convert to fraction form
    207,912/450,789 = 450,789/x
  3. Step 3: Cross multiply
    207,912x = 450,789 × 450,789
  4. Step 4: Simplify right side
    207,912x = 203,210,722,521
  5. Step 5: Solve for x
    x = 203,210,722,521/207,912
  6. Step 6: Final answer
    x = 977,388.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.