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Finding the Third Proportional to 342.19 and 526.69

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Solution

The third proportional to 342.19 and 526.69 is: 810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.19 : 526.69 = 526.69 : x
  2. Step 2: Convert to fraction form
    342.19/526.69 = 526.69/x
  3. Step 3: Cross multiply
    342.19x = 526.69 × 526.69
  4. Step 4: Simplify right side
    342.19x = 277,399.72
  5. Step 5: Solve for x
    x = 277,399.72/342.19
  6. Step 6: Final answer
    x = 810.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.