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Finding the Third Proportional to 200,259 and 311,877

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Solution

The third proportional to 200,259 and 311,877 is: 485,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259 : 311,877 = 311,877 : x
  2. Step 2: Convert to fraction form
    200,259/311,877 = 311,877/x
  3. Step 3: Cross multiply
    200,259x = 311,877 × 311,877
  4. Step 4: Simplify right side
    200,259x = 97,267,263,129
  5. Step 5: Solve for x
    x = 97,267,263,129/200,259
  6. Step 6: Final answer
    x = 485,707.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.