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Finding the Third Proportional to 301,345.50 and 455,907

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Solution

The third proportional to 301,345.50 and 455,907 is: 689,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,345.50 : 455,907 = 455,907 : x
  2. Step 2: Convert to fraction form
    301,345.50/455,907 = 455,907/x
  3. Step 3: Cross multiply
    301,345.50x = 455,907 × 455,907
  4. Step 4: Simplify right side
    301,345.50x = 207,851,192,649
  5. Step 5: Solve for x
    x = 207,851,192,649/301,345.50
  6. Step 6: Final answer
    x = 689,743.81

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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.