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Finding the Third Proportional to 301,774.50 and 455,739

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Solution

The third proportional to 301,774.50 and 455,739 is: 688,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,774.50 : 455,739 = 455,739 : x
  2. Step 2: Convert to fraction form
    301,774.50/455,739 = 455,739/x
  3. Step 3: Cross multiply
    301,774.50x = 455,739 × 455,739
  4. Step 4: Simplify right side
    301,774.50x = 207,698,036,121
  5. Step 5: Solve for x
    x = 207,698,036,121/301,774.50
  6. Step 6: Final answer
    x = 688,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.