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Finding the Third Proportional to 70,481 and 102,909

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Solution

The third proportional to 70,481 and 102,909 is: 150,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,481 : 102,909 = 102,909 : x
  2. Step 2: Convert to fraction form
    70,481/102,909 = 102,909/x
  3. Step 3: Cross multiply
    70,481x = 102,909 × 102,909
  4. Step 4: Simplify right side
    70,481x = 10,590,262,281
  5. Step 5: Solve for x
    x = 10,590,262,281/70,481
  6. Step 6: Final answer
    x = 150,256.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.