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Finding the Third Proportional to 157,139 and 339,178

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Solution

The third proportional to 157,139 and 339,178 is: 732,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,139 : 339,178 = 339,178 : x
  2. Step 2: Convert to fraction form
    157,139/339,178 = 339,178/x
  3. Step 3: Cross multiply
    157,139x = 339,178 × 339,178
  4. Step 4: Simplify right side
    157,139x = 115,041,715,684
  5. Step 5: Solve for x
    x = 115,041,715,684/157,139
  6. Step 6: Final answer
    x = 732,101.62

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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.