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Finding the Third Proportional to 343,638 and 505,158.75

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Solution

The third proportional to 343,638 and 505,158.75 is: 742,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,638 : 505,158.75 = 505,158.75 : x
  2. Step 2: Convert to fraction form
    343,638/505,158.75 = 505,158.75/x
  3. Step 3: Cross multiply
    343,638x = 505,158.75 × 505,158.75
  4. Step 4: Simplify right side
    343,638x = 255,185,362,701.56
  5. Step 5: Solve for x
    x = 255,185,362,701.56/343,638
  6. Step 6: Final answer
    x = 742,599.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.