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Finding the Third Proportional to 157,275 and 329,130

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Solution

The third proportional to 157,275 and 329,130 is: 688,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,275 : 329,130 = 329,130 : x
  2. Step 2: Convert to fraction form
    157,275/329,130 = 329,130/x
  3. Step 3: Cross multiply
    157,275x = 329,130 × 329,130
  4. Step 4: Simplify right side
    157,275x = 108,326,556,900
  5. Step 5: Solve for x
    x = 108,326,556,900/157,275
  6. Step 6: Final answer
    x = 688,771.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.