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Finding the Third Proportional to 253,482 and 553,707

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Solution

The third proportional to 253,482 and 553,707 is: 1,209,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,482 : 553,707 = 553,707 : x
  2. Step 2: Convert to fraction form
    253,482/553,707 = 553,707/x
  3. Step 3: Cross multiply
    253,482x = 553,707 × 553,707
  4. Step 4: Simplify right side
    253,482x = 306,591,441,849
  5. Step 5: Solve for x
    x = 306,591,441,849/253,482
  6. Step 6: Final answer
    x = 1,209,519.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.