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Finding the Third Proportional to 345.88 and 420.69

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Solution

The third proportional to 345.88 and 420.69 is: 511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.88 : 420.69 = 420.69 : x
  2. Step 2: Convert to fraction form
    345.88/420.69 = 420.69/x
  3. Step 3: Cross multiply
    345.88x = 420.69 × 420.69
  4. Step 4: Simplify right side
    345.88x = 176,977.97
  5. Step 5: Solve for x
    x = 176,977.97/345.88
  6. Step 6: Final answer
    x = 511.68

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.