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Finding the Third Proportional to 75,435 and 157,072

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Solution

The third proportional to 75,435 and 157,072 is: 327,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435 : 157,072 = 157,072 : x
  2. Step 2: Convert to fraction form
    75,435/157,072 = 157,072/x
  3. Step 3: Cross multiply
    75,435x = 157,072 × 157,072
  4. Step 4: Simplify right side
    75,435x = 24,671,613,184
  5. Step 5: Solve for x
    x = 24,671,613,184/75,435
  6. Step 6: Final answer
    x = 327,057.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.