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Finding the Third Proportional to 306,783.75 and 716,520.75

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Solution

The third proportional to 306,783.75 and 716,520.75 is: 1,673,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,783.75 : 716,520.75 = 716,520.75 : x
  2. Step 2: Convert to fraction form
    306,783.75/716,520.75 = 716,520.75/x
  3. Step 3: Cross multiply
    306,783.75x = 716,520.75 × 716,520.75
  4. Step 4: Simplify right side
    306,783.75x = 513,401,985,180.56
  5. Step 5: Solve for x
    x = 513,401,985,180.56/306,783.75
  6. Step 6: Final answer
    x = 1,673,497.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.