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Finding the Third Proportional to 345,548.25 and 718,684.88

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Solution

The third proportional to 345,548.25 and 718,684.88 is: 1,494,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,548.25 : 718,684.88 = 718,684.88 : x
  2. Step 2: Convert to fraction form
    345,548.25/718,684.88 = 718,684.88/x
  3. Step 3: Cross multiply
    345,548.25x = 718,684.88 × 718,684.88
  4. Step 4: Simplify right side
    345,548.25x = 516,507,949,553.77
  5. Step 5: Solve for x
    x = 516,507,949,553.77/345,548.25
  6. Step 6: Final answer
    x = 1,494,749.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.