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Finding the Third Proportional to 136,576 and 213,776

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Solution

The third proportional to 136,576 and 213,776 is: 334,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,576 : 213,776 = 213,776 : x
  2. Step 2: Convert to fraction form
    136,576/213,776 = 213,776/x
  3. Step 3: Cross multiply
    136,576x = 213,776 × 213,776
  4. Step 4: Simplify right side
    136,576x = 45,700,178,176
  5. Step 5: Solve for x
    x = 45,700,178,176/136,576
  6. Step 6: Final answer
    x = 334,613.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.