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Finding the Third Proportional to 158,388 and 329,841

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Solution

The third proportional to 158,388 and 329,841 is: 686,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,388 : 329,841 = 329,841 : x
  2. Step 2: Convert to fraction form
    158,388/329,841 = 329,841/x
  3. Step 3: Cross multiply
    158,388x = 329,841 × 329,841
  4. Step 4: Simplify right side
    158,388x = 108,795,085,281
  5. Step 5: Solve for x
    x = 108,795,085,281/158,388
  6. Step 6: Final answer
    x = 686,889.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.