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Finding the Third Proportional to 131,310 and 203,709

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Solution

The third proportional to 131,310 and 203,709 is: 316,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310 : 203,709 = 203,709 : x
  2. Step 2: Convert to fraction form
    131,310/203,709 = 203,709/x
  3. Step 3: Cross multiply
    131,310x = 203,709 × 203,709
  4. Step 4: Simplify right side
    131,310x = 41,497,356,681
  5. Step 5: Solve for x
    x = 41,497,356,681/131,310
  6. Step 6: Final answer
    x = 316,025.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.