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Finding the Third Proportional to 279,640.69 and 430,071.19

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Solution

The third proportional to 279,640.69 and 430,071.19 is: 661,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,640.69 : 430,071.19 = 430,071.19 : x
  2. Step 2: Convert to fraction form
    279,640.69/430,071.19 = 430,071.19/x
  3. Step 3: Cross multiply
    279,640.69x = 430,071.19 × 430,071.19
  4. Step 4: Simplify right side
    279,640.69x = 184,961,226,317.66
  5. Step 5: Solve for x
    x = 184,961,226,317.66/279,640.69
  6. Step 6: Final answer
    x = 661,424.59

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Why These Related Problems?

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