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Finding the Third Proportional to 342,003.52 and 742,418.16

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Solution

The third proportional to 342,003.52 and 742,418.16 is: 1,611,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003.52 : 742,418.16 = 742,418.16 : x
  2. Step 2: Convert to fraction form
    342,003.52/742,418.16 = 742,418.16/x
  3. Step 3: Cross multiply
    342,003.52x = 742,418.16 × 742,418.16
  4. Step 4: Simplify right side
    342,003.52x = 551,184,718,729.65
  5. Step 5: Solve for x
    x = 551,184,718,729.65/342,003.52
  6. Step 6: Final answer
    x = 1,611,634.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.