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Finding the Third Proportional to 369,987 and 553,494

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Solution

The third proportional to 369,987 and 553,494 is: 828,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,987 : 553,494 = 553,494 : x
  2. Step 2: Convert to fraction form
    369,987/553,494 = 553,494/x
  3. Step 3: Cross multiply
    369,987x = 553,494 × 553,494
  4. Step 4: Simplify right side
    369,987x = 306,355,608,036
  5. Step 5: Solve for x
    x = 306,355,608,036/369,987
  6. Step 6: Final answer
    x = 828,017.22

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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.