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Finding the Third Proportional to 306,564 and 457,958

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Solution

The third proportional to 306,564 and 457,958 is: 684,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,564 : 457,958 = 457,958 : x
  2. Step 2: Convert to fraction form
    306,564/457,958 = 457,958/x
  3. Step 3: Cross multiply
    306,564x = 457,958 × 457,958
  4. Step 4: Simplify right side
    306,564x = 209,725,529,764
  5. Step 5: Solve for x
    x = 209,725,529,764/306,564
  6. Step 6: Final answer
    x = 684,116.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.