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Finding the Third Proportional to 252,780 and 553,068

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Solution

The third proportional to 252,780 and 553,068 is: 1,210,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,780 : 553,068 = 553,068 : x
  2. Step 2: Convert to fraction form
    252,780/553,068 = 553,068/x
  3. Step 3: Cross multiply
    252,780x = 553,068 × 553,068
  4. Step 4: Simplify right side
    252,780x = 305,884,212,624
  5. Step 5: Solve for x
    x = 305,884,212,624/252,780
  6. Step 6: Final answer
    x = 1,210,080.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.