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Finding the Third Proportional to 343.94 and 750.63

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Solution

The third proportional to 343.94 and 750.63 is: 1,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 750.63 = 750.63 : x
  2. Step 2: Convert to fraction form
    343.94/750.63 = 750.63/x
  3. Step 3: Cross multiply
    343.94x = 750.63 × 750.63
  4. Step 4: Simplify right side
    343.94x = 563,437.89
  5. Step 5: Solve for x
    x = 563,437.89/343.94
  6. Step 6: Final answer
    x = 1,638.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.