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Finding the Third Proportional to 163,243.50 and 343,011.75

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Solution

The third proportional to 163,243.50 and 343,011.75 is: 720,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,243.50 : 343,011.75 = 343,011.75 : x
  2. Step 2: Convert to fraction form
    163,243.50/343,011.75 = 343,011.75/x
  3. Step 3: Cross multiply
    163,243.50x = 343,011.75 × 343,011.75
  4. Step 4: Simplify right side
    163,243.50x = 117,657,060,638.06
  5. Step 5: Solve for x
    x = 117,657,060,638.06/163,243.50
  6. Step 6: Final answer
    x = 720,745.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.