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Finding the Third Proportional to 343.30 and 710.93

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Solution

The third proportional to 343.30 and 710.93 is: 1,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.30 : 710.93 = 710.93 : x
  2. Step 2: Convert to fraction form
    343.30/710.93 = 710.93/x
  3. Step 3: Cross multiply
    343.30x = 710.93 × 710.93
  4. Step 4: Simplify right side
    343.30x = 505,421.02
  5. Step 5: Solve for x
    x = 505,421.02/343.30
  6. Step 6: Final answer
    x = 1,472.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.