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Finding the Third Proportional to 285,170 and 417,387

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Solution

The third proportional to 285,170 and 417,387 is: 610,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,170 : 417,387 = 417,387 : x
  2. Step 2: Convert to fraction form
    285,170/417,387 = 417,387/x
  3. Step 3: Cross multiply
    285,170x = 417,387 × 417,387
  4. Step 4: Simplify right side
    285,170x = 174,211,907,769
  5. Step 5: Solve for x
    x = 174,211,907,769/285,170
  6. Step 6: Final answer
    x = 610,905.45

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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.