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Finding the Third Proportional to 358,561.69 and 770,401.13

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Solution

The third proportional to 358,561.69 and 770,401.13 is: 1,655,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,561.69 : 770,401.13 = 770,401.13 : x
  2. Step 2: Convert to fraction form
    358,561.69/770,401.13 = 770,401.13/x
  3. Step 3: Cross multiply
    358,561.69x = 770,401.13 × 770,401.13
  4. Step 4: Simplify right side
    358,561.69x = 593,517,893,401.27
  5. Step 5: Solve for x
    x = 593,517,893,401.27/358,561.69
  6. Step 6: Final answer
    x = 1,655,274.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.