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Finding the Third Proportional to 205,983 and 311,877

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Solution

The third proportional to 205,983 and 311,877 is: 472,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983 : 311,877 = 311,877 : x
  2. Step 2: Convert to fraction form
    205,983/311,877 = 311,877/x
  3. Step 3: Cross multiply
    205,983x = 311,877 × 311,877
  4. Step 4: Simplify right side
    205,983x = 97,267,263,129
  5. Step 5: Solve for x
    x = 97,267,263,129/205,983
  6. Step 6: Final answer
    x = 472,210.15

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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.