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Finding the Third Proportional to 138,106 and 302,559

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Solution

The third proportional to 138,106 and 302,559 is: 662,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,106 : 302,559 = 302,559 : x
  2. Step 2: Convert to fraction form
    138,106/302,559 = 302,559/x
  3. Step 3: Cross multiply
    138,106x = 302,559 × 302,559
  4. Step 4: Simplify right side
    138,106x = 91,541,948,481
  5. Step 5: Solve for x
    x = 91,541,948,481/138,106
  6. Step 6: Final answer
    x = 662,838.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.