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Finding the Third Proportional to 285,786 and 420,783.75

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Solution

The third proportional to 285,786 and 420,783.75 is: 619,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,786 : 420,783.75 = 420,783.75 : x
  2. Step 2: Convert to fraction form
    285,786/420,783.75 = 420,783.75/x
  3. Step 3: Cross multiply
    285,786x = 420,783.75 × 420,783.75
  4. Step 4: Simplify right side
    285,786x = 177,058,964,264.06
  5. Step 5: Solve for x
    x = 177,058,964,264.06/285,786
  6. Step 6: Final answer
    x = 619,550.87

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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.