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Finding the Third Proportional to 313,486.50 and 457,107

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Solution

The third proportional to 313,486.50 and 457,107 is: 666,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486.50 : 457,107 = 457,107 : x
  2. Step 2: Convert to fraction form
    313,486.50/457,107 = 457,107/x
  3. Step 3: Cross multiply
    313,486.50x = 457,107 × 457,107
  4. Step 4: Simplify right side
    313,486.50x = 208,946,809,449
  5. Step 5: Solve for x
    x = 208,946,809,449/313,486.50
  6. Step 6: Final answer
    x = 666,525.70

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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.