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Finding the Third Proportional to 205,656 and 311,070

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Solution

The third proportional to 205,656 and 311,070 is: 470,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,656 : 311,070 = 311,070 : x
  2. Step 2: Convert to fraction form
    205,656/311,070 = 311,070/x
  3. Step 3: Cross multiply
    205,656x = 311,070 × 311,070
  4. Step 4: Simplify right side
    205,656x = 96,764,544,900
  5. Step 5: Solve for x
    x = 96,764,544,900/205,656
  6. Step 6: Final answer
    x = 470,516.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.