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Finding the Third Proportional to 157,638 and 230,313

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Solution

The third proportional to 157,638 and 230,313 is: 336,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,638 : 230,313 = 230,313 : x
  2. Step 2: Convert to fraction form
    157,638/230,313 = 230,313/x
  3. Step 3: Cross multiply
    157,638x = 230,313 × 230,313
  4. Step 4: Simplify right side
    157,638x = 53,044,077,969
  5. Step 5: Solve for x
    x = 53,044,077,969/157,638
  6. Step 6: Final answer
    x = 336,492.96

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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.