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Finding the Third Proportional to 369,990 and 553,477

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Solution

The third proportional to 369,990 and 553,477 is: 827,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,990 : 553,477 = 553,477 : x
  2. Step 2: Convert to fraction form
    369,990/553,477 = 553,477/x
  3. Step 3: Cross multiply
    369,990x = 553,477 × 553,477
  4. Step 4: Simplify right side
    369,990x = 306,336,789,529
  5. Step 5: Solve for x
    x = 306,336,789,529/369,990
  6. Step 6: Final answer
    x = 827,959.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.