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Finding the Third Proportional to 70,789 and 157,313

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Solution

The third proportional to 70,789 and 157,313 is: 349,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,789 : 157,313 = 157,313 : x
  2. Step 2: Convert to fraction form
    70,789/157,313 = 157,313/x
  3. Step 3: Cross multiply
    70,789x = 157,313 × 157,313
  4. Step 4: Simplify right side
    70,789x = 24,747,379,969
  5. Step 5: Solve for x
    x = 24,747,379,969/70,789
  6. Step 6: Final answer
    x = 349,593.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.