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Finding the Third Proportional to 509,400 and 1,107,258

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Solution

The third proportional to 509,400 and 1,107,258 is: 2,406,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,400 : 1,107,258 = 1,107,258 : x
  2. Step 2: Convert to fraction form
    509,400/1,107,258 = 1,107,258/x
  3. Step 3: Cross multiply
    509,400x = 1,107,258 × 1,107,258
  4. Step 4: Simplify right side
    509,400x = 1,226,020,278,564
  5. Step 5: Solve for x
    x = 1,226,020,278,564/509,400
  6. Step 6: Final answer
    x = 2,406,792.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.