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Finding the Third Proportional to 176,109 and 380,931

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Solution

The third proportional to 176,109 and 380,931 is: 823,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,109 : 380,931 = 380,931 : x
  2. Step 2: Convert to fraction form
    176,109/380,931 = 380,931/x
  3. Step 3: Cross multiply
    176,109x = 380,931 × 380,931
  4. Step 4: Simplify right side
    176,109x = 145,108,426,761
  5. Step 5: Solve for x
    x = 145,108,426,761/176,109
  6. Step 6: Final answer
    x = 823,969.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.