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Finding the Third Proportional to 157,160 and 339,430

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Solution

The third proportional to 157,160 and 339,430 is: 733,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160 : 339,430 = 339,430 : x
  2. Step 2: Convert to fraction form
    157,160/339,430 = 339,430/x
  3. Step 3: Cross multiply
    157,160x = 339,430 × 339,430
  4. Step 4: Simplify right side
    157,160x = 115,212,724,900
  5. Step 5: Solve for x
    x = 115,212,724,900/157,160
  6. Step 6: Final answer
    x = 733,091.91

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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.