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Finding the Third Proportional to 135,071 and 291,091

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Solution

The third proportional to 135,071 and 291,091 is: 627,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,071 : 291,091 = 291,091 : x
  2. Step 2: Convert to fraction form
    135,071/291,091 = 291,091/x
  3. Step 3: Cross multiply
    135,071x = 291,091 × 291,091
  4. Step 4: Simplify right side
    135,071x = 84,733,970,281
  5. Step 5: Solve for x
    x = 84,733,970,281/135,071
  6. Step 6: Final answer
    x = 627,329.11

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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.