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Finding the Third Proportional to 285,168 and 417,384

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Solution

The third proportional to 285,168 and 417,384 is: 610,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,168 : 417,384 = 417,384 : x
  2. Step 2: Convert to fraction form
    285,168/417,384 = 417,384/x
  3. Step 3: Cross multiply
    285,168x = 417,384 × 417,384
  4. Step 4: Simplify right side
    285,168x = 174,209,403,456
  5. Step 5: Solve for x
    x = 174,209,403,456/285,168
  6. Step 6: Final answer
    x = 610,900.95

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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.