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Finding the Third Proportional to 133,708.50 and 293,657.63

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Solution

The third proportional to 133,708.50 and 293,657.63 is: 644,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,708.50 : 293,657.63 = 293,657.63 : x
  2. Step 2: Convert to fraction form
    133,708.50/293,657.63 = 293,657.63/x
  3. Step 3: Cross multiply
    133,708.50x = 293,657.63 × 293,657.63
  4. Step 4: Simplify right side
    133,708.50x = 86,234,800,720.64
  5. Step 5: Solve for x
    x = 86,234,800,720.64/133,708.50
  6. Step 6: Final answer
    x = 644,946.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.