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Finding the Third Proportional to 39,970 and 43,810

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Solution

The third proportional to 39,970 and 43,810 is: 48,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970 : 43,810 = 43,810 : x
  2. Step 2: Convert to fraction form
    39,970/43,810 = 43,810/x
  3. Step 3: Cross multiply
    39,970x = 43,810 × 43,810
  4. Step 4: Simplify right side
    39,970x = 1,919,316,100
  5. Step 5: Solve for x
    x = 1,919,316,100/39,970
  6. Step 6: Final answer
    x = 48,018.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.