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Finding the Third Proportional to 197,080 and 432,311

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Solution

The third proportional to 197,080 and 432,311 is: 948,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080 : 432,311 = 432,311 : x
  2. Step 2: Convert to fraction form
    197,080/432,311 = 432,311/x
  3. Step 3: Cross multiply
    197,080x = 432,311 × 432,311
  4. Step 4: Simplify right side
    197,080x = 186,892,800,721
  5. Step 5: Solve for x
    x = 186,892,800,721/197,080
  6. Step 6: Final answer
    x = 948,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.