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Finding the Third Proportional to 38,169 and 51,421.50

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Solution

The third proportional to 38,169 and 51,421.50 is: 69,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 51,421.50 = 51,421.50 : x
  2. Step 2: Convert to fraction form
    38,169/51,421.50 = 51,421.50/x
  3. Step 3: Cross multiply
    38,169x = 51,421.50 × 51,421.50
  4. Step 4: Simplify right side
    38,169x = 2,644,170,662.25
  5. Step 5: Solve for x
    x = 2,644,170,662.25/38,169
  6. Step 6: Final answer
    x = 69,275.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.