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Finding the Third Proportional to 129,038.06 and 204,966.07

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Solution

The third proportional to 129,038.06 and 204,966.07 is: 325,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038.06 : 204,966.07 = 204,966.07 : x
  2. Step 2: Convert to fraction form
    129,038.06/204,966.07 = 204,966.07/x
  3. Step 3: Cross multiply
    129,038.06x = 204,966.07 × 204,966.07
  4. Step 4: Simplify right side
    129,038.06x = 42,011,089,979.35
  5. Step 5: Solve for x
    x = 42,011,089,979.35/129,038.06
  6. Step 6: Final answer
    x = 325,571.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.