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Finding the Third Proportional to 369,988 and 553,474

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Solution

The third proportional to 369,988 and 553,474 is: 827,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988 : 553,474 = 553,474 : x
  2. Step 2: Convert to fraction form
    369,988/553,474 = 553,474/x
  3. Step 3: Cross multiply
    369,988x = 553,474 × 553,474
  4. Step 4: Simplify right side
    369,988x = 306,333,468,676
  5. Step 5: Solve for x
    x = 306,333,468,676/369,988
  6. Step 6: Final answer
    x = 827,955.15

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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.