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Finding the Third Proportional to 207,816 and 450,612

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Solution

The third proportional to 207,816 and 450,612 is: 977,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816 : 450,612 = 450,612 : x
  2. Step 2: Convert to fraction form
    207,816/450,612 = 450,612/x
  3. Step 3: Cross multiply
    207,816x = 450,612 × 450,612
  4. Step 4: Simplify right side
    207,816x = 203,051,174,544
  5. Step 5: Solve for x
    x = 203,051,174,544/207,816
  6. Step 6: Final answer
    x = 977,071.90

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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.