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Finding the Third Proportional to 157,430 and 339,736

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Solution

The third proportional to 157,430 and 339,736 is: 733,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,430 : 339,736 = 339,736 : x
  2. Step 2: Convert to fraction form
    157,430/339,736 = 339,736/x
  3. Step 3: Cross multiply
    157,430x = 339,736 × 339,736
  4. Step 4: Simplify right side
    157,430x = 115,420,549,696
  5. Step 5: Solve for x
    x = 115,420,549,696/157,430
  6. Step 6: Final answer
    x = 733,154.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.