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Finding the Third Proportional to 157,339 and 340,913

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Solution

The third proportional to 157,339 and 340,913 is: 738,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,339 : 340,913 = 340,913 : x
  2. Step 2: Convert to fraction form
    157,339/340,913 = 340,913/x
  3. Step 3: Cross multiply
    157,339x = 340,913 × 340,913
  4. Step 4: Simplify right side
    157,339x = 116,221,673,569
  5. Step 5: Solve for x
    x = 116,221,673,569/157,339
  6. Step 6: Final answer
    x = 738,670.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.