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Finding the Third Proportional to 135,477 and 210,971

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Solution

The third proportional to 135,477 and 210,971 is: 328,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477 : 210,971 = 210,971 : x
  2. Step 2: Convert to fraction form
    135,477/210,971 = 210,971/x
  3. Step 3: Cross multiply
    135,477x = 210,971 × 210,971
  4. Step 4: Simplify right side
    135,477x = 44,508,762,841
  5. Step 5: Solve for x
    x = 44,508,762,841/135,477
  6. Step 6: Final answer
    x = 328,533.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.