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Finding the Third Proportional to 349,030.69 and 512,458.31

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Solution

The third proportional to 349,030.69 and 512,458.31 is: 752,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,030.69 : 512,458.31 = 512,458.31 : x
  2. Step 2: Convert to fraction form
    349,030.69/512,458.31 = 512,458.31/x
  3. Step 3: Cross multiply
    349,030.69x = 512,458.31 × 512,458.31
  4. Step 4: Simplify right side
    349,030.69x = 262,613,522,050.35
  5. Step 5: Solve for x
    x = 262,613,522,050.35/349,030.69
  6. Step 6: Final answer
    x = 752,408.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.