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Finding the Third Proportional to 57,010 and 133,210

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Solution

The third proportional to 57,010 and 133,210 is: 311,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010 : 133,210 = 133,210 : x
  2. Step 2: Convert to fraction form
    57,010/133,210 = 133,210/x
  3. Step 3: Cross multiply
    57,010x = 133,210 × 133,210
  4. Step 4: Simplify right side
    57,010x = 17,744,904,100
  5. Step 5: Solve for x
    x = 17,744,904,100/57,010
  6. Step 6: Final answer
    x = 311,259.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.