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Finding the Third Proportional to 18,507 and 39,783

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Solution

The third proportional to 18,507 and 39,783 is: 85,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507 : 39,783 = 39,783 : x
  2. Step 2: Convert to fraction form
    18,507/39,783 = 39,783/x
  3. Step 3: Cross multiply
    18,507x = 39,783 × 39,783
  4. Step 4: Simplify right side
    18,507x = 1,582,687,089
  5. Step 5: Solve for x
    x = 1,582,687,089/18,507
  6. Step 6: Final answer
    x = 85,518.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.