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Finding the Third Proportional to 118,800 and 172,854

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Solution

The third proportional to 118,800 and 172,854 is: 251,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,800 : 172,854 = 172,854 : x
  2. Step 2: Convert to fraction form
    118,800/172,854 = 172,854/x
  3. Step 3: Cross multiply
    118,800x = 172,854 × 172,854
  4. Step 4: Simplify right side
    118,800x = 29,878,505,316
  5. Step 5: Solve for x
    x = 29,878,505,316/118,800
  6. Step 6: Final answer
    x = 251,502.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.