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Finding the Third Proportional to 157,309 and 340,861

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Solution

The third proportional to 157,309 and 340,861 is: 738,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,309 : 340,861 = 340,861 : x
  2. Step 2: Convert to fraction form
    157,309/340,861 = 340,861/x
  3. Step 3: Cross multiply
    157,309x = 340,861 × 340,861
  4. Step 4: Simplify right side
    157,309x = 116,186,221,321
  5. Step 5: Solve for x
    x = 116,186,221,321/157,309
  6. Step 6: Final answer
    x = 738,585.98

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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.