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Finding the Third Proportional to 133,798 and 207,287

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Solution

The third proportional to 133,798 and 207,287 is: 321,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798 : 207,287 = 207,287 : x
  2. Step 2: Convert to fraction form
    133,798/207,287 = 207,287/x
  3. Step 3: Cross multiply
    133,798x = 207,287 × 207,287
  4. Step 4: Simplify right side
    133,798x = 42,967,900,369
  5. Step 5: Solve for x
    x = 42,967,900,369/133,798
  6. Step 6: Final answer
    x = 321,140.08

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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.