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Finding the Third Proportional to 207,830 and 322,438

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Solution

The third proportional to 207,830 and 322,438 is: 500,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,830 : 322,438 = 322,438 : x
  2. Step 2: Convert to fraction form
    207,830/322,438 = 322,438/x
  3. Step 3: Cross multiply
    207,830x = 322,438 × 322,438
  4. Step 4: Simplify right side
    207,830x = 103,966,263,844
  5. Step 5: Solve for x
    x = 103,966,263,844/207,830
  6. Step 6: Final answer
    x = 500,246.66

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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.