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Finding the Third Proportional to 515,153 and 1,121,829

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Solution

The third proportional to 515,153 and 1,121,829 is: 2,442,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,153 : 1,121,829 = 1,121,829 : x
  2. Step 2: Convert to fraction form
    515,153/1,121,829 = 1,121,829/x
  3. Step 3: Cross multiply
    515,153x = 1,121,829 × 1,121,829
  4. Step 4: Simplify right side
    515,153x = 1,258,500,305,241
  5. Step 5: Solve for x
    x = 1,258,500,305,241/515,153
  6. Step 6: Final answer
    x = 2,442,964.14

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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.