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Finding the Third Proportional to 315,794 and 457,106

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Solution

The third proportional to 315,794 and 457,106 is: 661,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,794 : 457,106 = 457,106 : x
  2. Step 2: Convert to fraction form
    315,794/457,106 = 457,106/x
  3. Step 3: Cross multiply
    315,794x = 457,106 × 457,106
  4. Step 4: Simplify right side
    315,794x = 208,945,895,236
  5. Step 5: Solve for x
    x = 208,945,895,236/315,794
  6. Step 6: Final answer
    x = 661,652.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.