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Finding the Third Proportional to 313,112 and 419,440

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Solution

The third proportional to 313,112 and 419,440 is: 561,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,112 : 419,440 = 419,440 : x
  2. Step 2: Convert to fraction form
    313,112/419,440 = 419,440/x
  3. Step 3: Cross multiply
    313,112x = 419,440 × 419,440
  4. Step 4: Simplify right side
    313,112x = 175,929,913,600
  5. Step 5: Solve for x
    x = 175,929,913,600/313,112
  6. Step 6: Final answer
    x = 561,875.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.