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Finding the Third Proportional to 39,486 and 84,570

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Solution

The third proportional to 39,486 and 84,570 is: 181,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,486 : 84,570 = 84,570 : x
  2. Step 2: Convert to fraction form
    39,486/84,570 = 84,570/x
  3. Step 3: Cross multiply
    39,486x = 84,570 × 84,570
  4. Step 4: Simplify right side
    39,486x = 7,152,084,900
  5. Step 5: Solve for x
    x = 7,152,084,900/39,486
  6. Step 6: Final answer
    x = 181,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.