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Finding the Third Proportional to 318,501.75 and 693,199.50

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Solution

The third proportional to 318,501.75 and 693,199.50 is: 1,508,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,501.75 : 693,199.50 = 693,199.50 : x
  2. Step 2: Convert to fraction form
    318,501.75/693,199.50 = 693,199.50/x
  3. Step 3: Cross multiply
    318,501.75x = 693,199.50 × 693,199.50
  4. Step 4: Simplify right side
    318,501.75x = 480,525,546,800.25
  5. Step 5: Solve for x
    x = 480,525,546,800.25/318,501.75
  6. Step 6: Final answer
    x = 1,508,706.14

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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.