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Finding the Third Proportional to 216,550 and 446,830

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Solution

The third proportional to 216,550 and 446,830 is: 921,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,550 : 446,830 = 446,830 : x
  2. Step 2: Convert to fraction form
    216,550/446,830 = 446,830/x
  3. Step 3: Cross multiply
    216,550x = 446,830 × 446,830
  4. Step 4: Simplify right side
    216,550x = 199,657,048,900
  5. Step 5: Solve for x
    x = 199,657,048,900/216,550
  6. Step 6: Final answer
    x = 921,990.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.