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Finding the Third Proportional to 306,719.63 and 655,190.17

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Solution

The third proportional to 306,719.63 and 655,190.17 is: 1,399,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.63 : 655,190.17 = 655,190.17 : x
  2. Step 2: Convert to fraction form
    306,719.63/655,190.17 = 655,190.17/x
  3. Step 3: Cross multiply
    306,719.63x = 655,190.17 × 655,190.17
  4. Step 4: Simplify right side
    306,719.63x = 429,274,163,880.90
  5. Step 5: Solve for x
    x = 429,274,163,880.90/306,719.63
  6. Step 6: Final answer
    x = 1,399,565.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.