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Finding the Third Proportional to 135,039 and 291,013

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Solution

The third proportional to 135,039 and 291,013 is: 627,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,039 : 291,013 = 291,013 : x
  2. Step 2: Convert to fraction form
    135,039/291,013 = 291,013/x
  3. Step 3: Cross multiply
    135,039x = 291,013 × 291,013
  4. Step 4: Simplify right side
    135,039x = 84,688,566,169
  5. Step 5: Solve for x
    x = 84,688,566,169/135,039
  6. Step 6: Final answer
    x = 627,141.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.