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Finding the Third Proportional to 342,705.75 and 742,611

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Solution

The third proportional to 342,705.75 and 742,611 is: 1,609,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,705.75 : 742,611 = 742,611 : x
  2. Step 2: Convert to fraction form
    342,705.75/742,611 = 742,611/x
  3. Step 3: Cross multiply
    342,705.75x = 742,611 × 742,611
  4. Step 4: Simplify right side
    342,705.75x = 551,471,097,321
  5. Step 5: Solve for x
    x = 551,471,097,321/342,705.75
  6. Step 6: Final answer
    x = 1,609,167.92

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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.