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Finding the Third Proportional to 34.65 and 70.00

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Solution

The third proportional to 34.65 and 70.00 is: 141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.65 : 70.00 = 70.00 : x
  2. Step 2: Convert to fraction form
    34.65/70.00 = 70.00/x
  3. Step 3: Cross multiply
    34.65x = 70.00 × 70.00
  4. Step 4: Simplify right side
    34.65x = 4,900.68
  5. Step 5: Solve for x
    x = 4,900.68/34.65
  6. Step 6: Final answer
    x = 141.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.