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Finding the Third Proportional to 115,224 and 178,830

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Solution

The third proportional to 115,224 and 178,830 is: 277,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 178,830 = 178,830 : x
  2. Step 2: Convert to fraction form
    115,224/178,830 = 178,830/x
  3. Step 3: Cross multiply
    115,224x = 178,830 × 178,830
  4. Step 4: Simplify right side
    115,224x = 31,980,168,900
  5. Step 5: Solve for x
    x = 31,980,168,900/115,224
  6. Step 6: Final answer
    x = 277,547.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.