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Finding the Third Proportional to 172,798 and 270,482

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Solution

The third proportional to 172,798 and 270,482 is: 423,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,798 : 270,482 = 270,482 : x
  2. Step 2: Convert to fraction form
    172,798/270,482 = 270,482/x
  3. Step 3: Cross multiply
    172,798x = 270,482 × 270,482
  4. Step 4: Simplify right side
    172,798x = 73,160,512,324
  5. Step 5: Solve for x
    x = 73,160,512,324/172,798
  6. Step 6: Final answer
    x = 423,387.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.