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Finding the Third Proportional to 153,969 and 320,178

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Solution

The third proportional to 153,969 and 320,178 is: 665,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,969 : 320,178 = 320,178 : x
  2. Step 2: Convert to fraction form
    153,969/320,178 = 320,178/x
  3. Step 3: Cross multiply
    153,969x = 320,178 × 320,178
  4. Step 4: Simplify right side
    153,969x = 102,513,951,684
  5. Step 5: Solve for x
    x = 102,513,951,684/153,969
  6. Step 6: Final answer
    x = 665,809.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.