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Finding the Third Proportional to 202,758 and 296,433

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Solution

The third proportional to 202,758 and 296,433 is: 433,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,758 : 296,433 = 296,433 : x
  2. Step 2: Convert to fraction form
    202,758/296,433 = 296,433/x
  3. Step 3: Cross multiply
    202,758x = 296,433 × 296,433
  4. Step 4: Simplify right side
    202,758x = 87,872,523,489
  5. Step 5: Solve for x
    x = 87,872,523,489/202,758
  6. Step 6: Final answer
    x = 433,386.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.