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Finding the Third Proportional to 152,377 and 232,433

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Solution

The third proportional to 152,377 and 232,433 is: 354,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,377 : 232,433 = 232,433 : x
  2. Step 2: Convert to fraction form
    152,377/232,433 = 232,433/x
  3. Step 3: Cross multiply
    152,377x = 232,433 × 232,433
  4. Step 4: Simplify right side
    152,377x = 54,025,099,489
  5. Step 5: Solve for x
    x = 54,025,099,489/152,377
  6. Step 6: Final answer
    x = 354,548.91

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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.