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Finding the Third Proportional to 165,921.75 and 390,018.38

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Solution

The third proportional to 165,921.75 and 390,018.38 is: 916,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,921.75 : 390,018.38 = 390,018.38 : x
  2. Step 2: Convert to fraction form
    165,921.75/390,018.38 = 390,018.38/x
  3. Step 3: Cross multiply
    165,921.75x = 390,018.38 × 390,018.38
  4. Step 4: Simplify right side
    165,921.75x = 152,114,332,837.64
  5. Step 5: Solve for x
    x = 152,114,332,837.64/165,921.75
  6. Step 6: Final answer
    x = 916,783.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.