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Finding the Third Proportional to 316,218 and 415,170

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Solution

The third proportional to 316,218 and 415,170 is: 545,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,218 : 415,170 = 415,170 : x
  2. Step 2: Convert to fraction form
    316,218/415,170 = 415,170/x
  3. Step 3: Cross multiply
    316,218x = 415,170 × 415,170
  4. Step 4: Simplify right side
    316,218x = 172,366,128,900
  5. Step 5: Solve for x
    x = 172,366,128,900/316,218
  6. Step 6: Final answer
    x = 545,086.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.