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Finding the Third Proportional to 554,044 and 827,420

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Solution

The third proportional to 554,044 and 827,420 is: 1,235,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,044 : 827,420 = 827,420 : x
  2. Step 2: Convert to fraction form
    554,044/827,420 = 827,420/x
  3. Step 3: Cross multiply
    554,044x = 827,420 × 827,420
  4. Step 4: Simplify right side
    554,044x = 684,623,856,400
  5. Step 5: Solve for x
    x = 684,623,856,400/554,044
  6. Step 6: Final answer
    x = 1,235,684.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.