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Finding the Third Proportional to 178,860 and 369,060

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Solution

The third proportional to 178,860 and 369,060 is: 761,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,860 : 369,060 = 369,060 : x
  2. Step 2: Convert to fraction form
    178,860/369,060 = 369,060/x
  3. Step 3: Cross multiply
    178,860x = 369,060 × 369,060
  4. Step 4: Simplify right side
    178,860x = 136,205,283,600
  5. Step 5: Solve for x
    x = 136,205,283,600/178,860
  6. Step 6: Final answer
    x = 761,518.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.