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Finding the Third Proportional to 39,645 and 82,570

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Solution

The third proportional to 39,645 and 82,570 is: 171,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,645 : 82,570 = 82,570 : x
  2. Step 2: Convert to fraction form
    39,645/82,570 = 82,570/x
  3. Step 3: Cross multiply
    39,645x = 82,570 × 82,570
  4. Step 4: Simplify right side
    39,645x = 6,817,804,900
  5. Step 5: Solve for x
    x = 6,817,804,900/39,645
  6. Step 6: Final answer
    x = 171,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.