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Finding the Third Proportional to 369,990 and 553,476

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Solution

The third proportional to 369,990 and 553,476 is: 827,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,990 : 553,476 = 553,476 : x
  2. Step 2: Convert to fraction form
    369,990/553,476 = 553,476/x
  3. Step 3: Cross multiply
    369,990x = 553,476 × 553,476
  4. Step 4: Simplify right side
    369,990x = 306,335,682,576
  5. Step 5: Solve for x
    x = 306,335,682,576/369,990
  6. Step 6: Final answer
    x = 827,956.65

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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.