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Finding the Third Proportional to 178,646 and 390,772

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Solution

The third proportional to 178,646 and 390,772 is: 854,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646 : 390,772 = 390,772 : x
  2. Step 2: Convert to fraction form
    178,646/390,772 = 390,772/x
  3. Step 3: Cross multiply
    178,646x = 390,772 × 390,772
  4. Step 4: Simplify right side
    178,646x = 152,702,755,984
  5. Step 5: Solve for x
    x = 152,702,755,984/178,646
  6. Step 6: Final answer
    x = 854,778.48

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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.