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Finding the Third Proportional to 313,490 and 457,112

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Solution

The third proportional to 313,490 and 457,112 is: 666,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,490 : 457,112 = 457,112 : x
  2. Step 2: Convert to fraction form
    313,490/457,112 = 457,112/x
  3. Step 3: Cross multiply
    313,490x = 457,112 × 457,112
  4. Step 4: Simplify right side
    313,490x = 208,951,380,544
  5. Step 5: Solve for x
    x = 208,951,380,544/313,490
  6. Step 6: Final answer
    x = 666,532.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.