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Finding the Third Proportional to 289,959.75 and 438,129

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Solution

The third proportional to 289,959.75 and 438,129 is: 662,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,959.75 : 438,129 = 438,129 : x
  2. Step 2: Convert to fraction form
    289,959.75/438,129 = 438,129/x
  3. Step 3: Cross multiply
    289,959.75x = 438,129 × 438,129
  4. Step 4: Simplify right side
    289,959.75x = 191,957,020,641
  5. Step 5: Solve for x
    x = 191,957,020,641/289,959.75
  6. Step 6: Final answer
    x = 662,012.64

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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.