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Finding the Third Proportional to 135,038 and 291,010

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Solution

The third proportional to 135,038 and 291,010 is: 627,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,038 : 291,010 = 291,010 : x
  2. Step 2: Convert to fraction form
    135,038/291,010 = 291,010/x
  3. Step 3: Cross multiply
    135,038x = 291,010 × 291,010
  4. Step 4: Simplify right side
    135,038x = 84,686,820,100
  5. Step 5: Solve for x
    x = 84,686,820,100/135,038
  6. Step 6: Final answer
    x = 627,133.25

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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.