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Finding the Third Proportional to 131,053 and 199,013

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Solution

The third proportional to 131,053 and 199,013 is: 302,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,053 : 199,013 = 199,013 : x
  2. Step 2: Convert to fraction form
    131,053/199,013 = 199,013/x
  3. Step 3: Cross multiply
    131,053x = 199,013 × 199,013
  4. Step 4: Simplify right side
    131,053x = 39,606,174,169
  5. Step 5: Solve for x
    x = 39,606,174,169/131,053
  6. Step 6: Final answer
    x = 302,214.94

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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.