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Finding the Third Proportional to 178,815 and 390,393

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Solution

The third proportional to 178,815 and 390,393 is: 852,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,815 : 390,393 = 390,393 : x
  2. Step 2: Convert to fraction form
    178,815/390,393 = 390,393/x
  3. Step 3: Cross multiply
    178,815x = 390,393 × 390,393
  4. Step 4: Simplify right side
    178,815x = 152,406,694,449
  5. Step 5: Solve for x
    x = 152,406,694,449/178,815
  6. Step 6: Final answer
    x = 852,314.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.