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Finding the Third Proportional to 133,548 and 206,509.13

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Solution

The third proportional to 133,548 and 206,509.13 is: 319,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548 : 206,509.13 = 206,509.13 : x
  2. Step 2: Convert to fraction form
    133,548/206,509.13 = 206,509.13/x
  3. Step 3: Cross multiply
    133,548x = 206,509.13 × 206,509.13
  4. Step 4: Simplify right side
    133,548x = 42,646,018,708.27
  5. Step 5: Solve for x
    x = 42,646,018,708.27/133,548
  6. Step 6: Final answer
    x = 319,331.02

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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.