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Finding the Third Proportional to 313,494 and 457,118

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Solution

The third proportional to 313,494 and 457,118 is: 666,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494 : 457,118 = 457,118 : x
  2. Step 2: Convert to fraction form
    313,494/457,118 = 457,118/x
  3. Step 3: Cross multiply
    313,494x = 457,118 × 457,118
  4. Step 4: Simplify right side
    313,494x = 208,956,865,924
  5. Step 5: Solve for x
    x = 208,956,865,924/313,494
  6. Step 6: Final answer
    x = 666,541.83

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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.