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Finding the Third Proportional to 491,520 and 664,072.50

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Solution

The third proportional to 491,520 and 664,072.50 is: 897,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,520 : 664,072.50 = 664,072.50 : x
  2. Step 2: Convert to fraction form
    491,520/664,072.50 = 664,072.50/x
  3. Step 3: Cross multiply
    491,520x = 664,072.50 × 664,072.50
  4. Step 4: Simplify right side
    491,520x = 440,992,285,256.25
  5. Step 5: Solve for x
    x = 440,992,285,256.25/491,520
  6. Step 6: Final answer
    x = 897,201.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.