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Finding the Third Proportional to 153,982 and 330,174

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Solution

The third proportional to 153,982 and 330,174 is: 707,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,982 : 330,174 = 330,174 : x
  2. Step 2: Convert to fraction form
    153,982/330,174 = 330,174/x
  3. Step 3: Cross multiply
    153,982x = 330,174 × 330,174
  4. Step 4: Simplify right side
    153,982x = 109,014,870,276
  5. Step 5: Solve for x
    x = 109,014,870,276/153,982
  6. Step 6: Final answer
    x = 707,971.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.