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Finding the Third Proportional to 251,685 and 553,104

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Solution

The third proportional to 251,685 and 553,104 is: 1,215,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,685 : 553,104 = 553,104 : x
  2. Step 2: Convert to fraction form
    251,685/553,104 = 553,104/x
  3. Step 3: Cross multiply
    251,685x = 553,104 × 553,104
  4. Step 4: Simplify right side
    251,685x = 305,924,034,816
  5. Step 5: Solve for x
    x = 305,924,034,816/251,685
  6. Step 6: Final answer
    x = 1,215,503.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.