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Finding the Third Proportional to 118,386 and 178,803

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Solution

The third proportional to 118,386 and 178,803 is: 270,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,386 : 178,803 = 178,803 : x
  2. Step 2: Convert to fraction form
    118,386/178,803 = 178,803/x
  3. Step 3: Cross multiply
    118,386x = 178,803 × 178,803
  4. Step 4: Simplify right side
    118,386x = 31,970,512,809
  5. Step 5: Solve for x
    x = 31,970,512,809/118,386
  6. Step 6: Final answer
    x = 270,053.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.