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Finding the Third Proportional to 343,542 and 505,039.50

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Solution

The third proportional to 343,542 and 505,039.50 is: 742,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,542 : 505,039.50 = 505,039.50 : x
  2. Step 2: Convert to fraction form
    343,542/505,039.50 = 505,039.50/x
  3. Step 3: Cross multiply
    343,542x = 505,039.50 × 505,039.50
  4. Step 4: Simplify right side
    343,542x = 255,064,896,560.25
  5. Step 5: Solve for x
    x = 255,064,896,560.25/343,542
  6. Step 6: Final answer
    x = 742,456.23

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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.