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Finding the Third Proportional to 370,353 and 553,089

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Solution

The third proportional to 370,353 and 553,089 is: 825,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,353 : 553,089 = 553,089 : x
  2. Step 2: Convert to fraction form
    370,353/553,089 = 553,089/x
  3. Step 3: Cross multiply
    370,353x = 553,089 × 553,089
  4. Step 4: Simplify right side
    370,353x = 305,907,441,921
  5. Step 5: Solve for x
    x = 305,907,441,921/370,353
  6. Step 6: Final answer
    x = 825,988.83

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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.