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Finding the Third Proportional to 70,070 and 100,731

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Solution

The third proportional to 70,070 and 100,731 is: 144,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070 : 100,731 = 100,731 : x
  2. Step 2: Convert to fraction form
    70,070/100,731 = 100,731/x
  3. Step 3: Cross multiply
    70,070x = 100,731 × 100,731
  4. Step 4: Simplify right side
    70,070x = 10,146,734,361
  5. Step 5: Solve for x
    x = 10,146,734,361/70,070
  6. Step 6: Final answer
    x = 144,808.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.