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Finding the Third Proportional to 198,979.03 and 429,479.72

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Solution

The third proportional to 198,979.03 and 429,479.72 is: 926,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,979.03 : 429,479.72 = 429,479.72 : x
  2. Step 2: Convert to fraction form
    198,979.03/429,479.72 = 429,479.72/x
  3. Step 3: Cross multiply
    198,979.03x = 429,479.72 × 429,479.72
  4. Step 4: Simplify right side
    198,979.03x = 184,452,828,817.58
  5. Step 5: Solve for x
    x = 184,452,828,817.58/198,979.03
  6. Step 6: Final answer
    x = 926,996.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.