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Finding the Third Proportional to 70,759 and 154,639

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Solution

The third proportional to 70,759 and 154,639 is: 337,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,759 : 154,639 = 154,639 : x
  2. Step 2: Convert to fraction form
    70,759/154,639 = 154,639/x
  3. Step 3: Cross multiply
    70,759x = 154,639 × 154,639
  4. Step 4: Simplify right side
    70,759x = 23,913,220,321
  5. Step 5: Solve for x
    x = 23,913,220,321/70,759
  6. Step 6: Final answer
    x = 337,953.06

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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.