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Finding the Third Proportional to 306,524.25 and 455,412.38

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Solution

The third proportional to 306,524.25 and 455,412.38 is: 676,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524.25 : 455,412.38 = 455,412.38 : x
  2. Step 2: Convert to fraction form
    306,524.25/455,412.38 = 455,412.38/x
  3. Step 3: Cross multiply
    306,524.25x = 455,412.38 × 455,412.38
  4. Step 4: Simplify right side
    306,524.25x = 207,400,431,303.14
  5. Step 5: Solve for x
    x = 207,400,431,303.14/306,524.25
  6. Step 6: Final answer
    x = 676,619.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.