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Finding the Third Proportional to 131,420 and 201,072

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Solution

The third proportional to 131,420 and 201,072 is: 307,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,420 : 201,072 = 201,072 : x
  2. Step 2: Convert to fraction form
    131,420/201,072 = 201,072/x
  3. Step 3: Cross multiply
    131,420x = 201,072 × 201,072
  4. Step 4: Simplify right side
    131,420x = 40,429,949,184
  5. Step 5: Solve for x
    x = 40,429,949,184/131,420
  6. Step 6: Final answer
    x = 307,639.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.