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Finding the Third Proportional to 313,854 and 456,200

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Solution

The third proportional to 313,854 and 456,200 is: 663,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,854 : 456,200 = 456,200 : x
  2. Step 2: Convert to fraction form
    313,854/456,200 = 456,200/x
  3. Step 3: Cross multiply
    313,854x = 456,200 × 456,200
  4. Step 4: Simplify right side
    313,854x = 208,118,440,000
  5. Step 5: Solve for x
    x = 208,118,440,000/313,854
  6. Step 6: Final answer
    x = 663,105.90

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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.