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Finding the Third Proportional to 130,306 and 203,248

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Solution

The third proportional to 130,306 and 203,248 is: 317,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,306 : 203,248 = 203,248 : x
  2. Step 2: Convert to fraction form
    130,306/203,248 = 203,248/x
  3. Step 3: Cross multiply
    130,306x = 203,248 × 203,248
  4. Step 4: Simplify right side
    130,306x = 41,309,749,504
  5. Step 5: Solve for x
    x = 41,309,749,504/130,306
  6. Step 6: Final answer
    x = 317,021.09

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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.