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Finding the Third Proportional to 285,642 and 419,623.88

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Solution

The third proportional to 285,642 and 419,623.88 is: 616,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,642 : 419,623.88 = 419,623.88 : x
  2. Step 2: Convert to fraction form
    285,642/419,623.88 = 419,623.88/x
  3. Step 3: Cross multiply
    285,642x = 419,623.88 × 419,623.88
  4. Step 4: Simplify right side
    285,642x = 176,084,196,470.02
  5. Step 5: Solve for x
    x = 176,084,196,470.02/285,642
  6. Step 6: Final answer
    x = 616,450.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.