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Finding the Third Proportional to 132,433 and 201,710

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Solution

The third proportional to 132,433 and 201,710 is: 307,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,433 : 201,710 = 201,710 : x
  2. Step 2: Convert to fraction form
    132,433/201,710 = 201,710/x
  3. Step 3: Cross multiply
    132,433x = 201,710 × 201,710
  4. Step 4: Simplify right side
    132,433x = 40,686,924,100
  5. Step 5: Solve for x
    x = 40,686,924,100/132,433
  6. Step 6: Final answer
    x = 307,226.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.