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Finding the Third Proportional to 351,384 and 770,484

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Solution

The third proportional to 351,384 and 770,484 is: 1,689,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,384 : 770,484 = 770,484 : x
  2. Step 2: Convert to fraction form
    351,384/770,484 = 770,484/x
  3. Step 3: Cross multiply
    351,384x = 770,484 × 770,484
  4. Step 4: Simplify right side
    351,384x = 593,645,594,256
  5. Step 5: Solve for x
    x = 593,645,594,256/351,384
  6. Step 6: Final answer
    x = 1,689,449.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.