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Finding the Third Proportional to 135,476 and 210,970

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Solution

The third proportional to 135,476 and 210,970 is: 328,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,476 : 210,970 = 210,970 : x
  2. Step 2: Convert to fraction form
    135,476/210,970 = 210,970/x
  3. Step 3: Cross multiply
    135,476x = 210,970 × 210,970
  4. Step 4: Simplify right side
    135,476x = 44,508,340,900
  5. Step 5: Solve for x
    x = 44,508,340,900/135,476
  6. Step 6: Final answer
    x = 328,533.03

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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.