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Finding the Third Proportional to 342,757.51 and 742,718.74

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Solution

The third proportional to 342,757.51 and 742,718.74 is: 1,609,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,757.51 : 742,718.74 = 742,718.74 : x
  2. Step 2: Convert to fraction form
    342,757.51/742,718.74 = 742,718.74/x
  3. Step 3: Cross multiply
    342,757.51x = 742,718.74 × 742,718.74
  4. Step 4: Simplify right side
    342,757.51x = 551,631,129,996.58
  5. Step 5: Solve for x
    x = 551,631,129,996.58/342,757.51
  6. Step 6: Final answer
    x = 1,609,391.80

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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.