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Finding the Third Proportional to 207,222 and 320,948

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Solution

The third proportional to 207,222 and 320,948 is: 497,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222 : 320,948 = 320,948 : x
  2. Step 2: Convert to fraction form
    207,222/320,948 = 320,948/x
  3. Step 3: Cross multiply
    207,222x = 320,948 × 320,948
  4. Step 4: Simplify right side
    207,222x = 103,007,618,704
  5. Step 5: Solve for x
    x = 103,007,618,704/207,222
  6. Step 6: Final answer
    x = 497,088.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.