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Finding the Third Proportional to 205,173 and 306,939.38

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Solution

The third proportional to 205,173 and 306,939.38 is: 459,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,173 : 306,939.38 = 306,939.38 : x
  2. Step 2: Convert to fraction form
    205,173/306,939.38 = 306,939.38/x
  3. Step 3: Cross multiply
    205,173x = 306,939.38 × 306,939.38
  4. Step 4: Simplify right side
    205,173x = 94,211,779,925.39
  5. Step 5: Solve for x
    x = 94,211,779,925.39/205,173
  6. Step 6: Final answer
    x = 459,182.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.