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Finding the Third Proportional to 47,480 and 73,810

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Solution

The third proportional to 47,480 and 73,810 is: 114,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480 : 73,810 = 73,810 : x
  2. Step 2: Convert to fraction form
    47,480/73,810 = 73,810/x
  3. Step 3: Cross multiply
    47,480x = 73,810 × 73,810
  4. Step 4: Simplify right side
    47,480x = 5,447,916,100
  5. Step 5: Solve for x
    x = 5,447,916,100/47,480
  6. Step 6: Final answer
    x = 114,741.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.