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Finding the Third Proportional to 178,891 and 390,951

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Solution

The third proportional to 178,891 and 390,951 is: 854,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891 : 390,951 = 390,951 : x
  2. Step 2: Convert to fraction form
    178,891/390,951 = 390,951/x
  3. Step 3: Cross multiply
    178,891x = 390,951 × 390,951
  4. Step 4: Simplify right side
    178,891x = 152,842,684,401
  5. Step 5: Solve for x
    x = 152,842,684,401/178,891
  6. Step 6: Final answer
    x = 854,390.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.