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Finding the Third Proportional to 142,988 and 217,556

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Solution

The third proportional to 142,988 and 217,556 is: 331,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,988 : 217,556 = 217,556 : x
  2. Step 2: Convert to fraction form
    142,988/217,556 = 217,556/x
  3. Step 3: Cross multiply
    142,988x = 217,556 × 217,556
  4. Step 4: Simplify right side
    142,988x = 47,330,613,136
  5. Step 5: Solve for x
    x = 47,330,613,136/142,988
  6. Step 6: Final answer
    x = 331,011.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.