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Finding the Third Proportional to 340,255.69 and 742,839.19

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Solution

The third proportional to 340,255.69 and 742,839.19 is: 1,621,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,255.69 : 742,839.19 = 742,839.19 : x
  2. Step 2: Convert to fraction form
    340,255.69/742,839.19 = 742,839.19/x
  3. Step 3: Cross multiply
    340,255.69x = 742,839.19 × 742,839.19
  4. Step 4: Simplify right side
    340,255.69x = 551,810,058,485.66
  5. Step 5: Solve for x
    x = 551,810,058,485.66/340,255.69
  6. Step 6: Final answer
    x = 1,621,751.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.