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Finding the Third Proportional to 448,629.38 and 689,575.50

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Solution

The third proportional to 448,629.38 and 689,575.50 is: 1,059,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,629.38 : 689,575.50 = 689,575.50 : x
  2. Step 2: Convert to fraction form
    448,629.38/689,575.50 = 689,575.50/x
  3. Step 3: Cross multiply
    448,629.38x = 689,575.50 × 689,575.50
  4. Step 4: Simplify right side
    448,629.38x = 475,514,370,200.25
  5. Step 5: Solve for x
    x = 475,514,370,200.25/448,629.38
  6. Step 6: Final answer
    x = 1,059,926.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.