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Finding the Third Proportional to 343,657.50 and 718,611

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Solution

The third proportional to 343,657.50 and 718,611 is: 1,502,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,657.50 : 718,611 = 718,611 : x
  2. Step 2: Convert to fraction form
    343,657.50/718,611 = 718,611/x
  3. Step 3: Cross multiply
    343,657.50x = 718,611 × 718,611
  4. Step 4: Simplify right side
    343,657.50x = 516,401,769,321
  5. Step 5: Solve for x
    x = 516,401,769,321/343,657.50
  6. Step 6: Final answer
    x = 1,502,664.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.