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Finding the Third Proportional to 207,824 and 322,429

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Solution

The third proportional to 207,824 and 322,429 is: 500,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824 : 322,429 = 322,429 : x
  2. Step 2: Convert to fraction form
    207,824/322,429 = 322,429/x
  3. Step 3: Cross multiply
    207,824x = 322,429 × 322,429
  4. Step 4: Simplify right side
    207,824x = 103,960,460,041
  5. Step 5: Solve for x
    x = 103,960,460,041/207,824
  6. Step 6: Final answer
    x = 500,233.18

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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.