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Finding the Third Proportional to 28,305 and 39,001.50

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Solution

The third proportional to 28,305 and 39,001.50 is: 53,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 39,001.50 = 39,001.50 : x
  2. Step 2: Convert to fraction form
    28,305/39,001.50 = 39,001.50/x
  3. Step 3: Cross multiply
    28,305x = 39,001.50 × 39,001.50
  4. Step 4: Simplify right side
    28,305x = 1,521,117,002.25
  5. Step 5: Solve for x
    x = 1,521,117,002.25/28,305
  6. Step 6: Final answer
    x = 53,740.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.