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Finding the Third Proportional to 36,080 and 78,640

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Solution

The third proportional to 36,080 and 78,640 is: 171,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080 : 78,640 = 78,640 : x
  2. Step 2: Convert to fraction form
    36,080/78,640 = 78,640/x
  3. Step 3: Cross multiply
    36,080x = 78,640 × 78,640
  4. Step 4: Simplify right side
    36,080x = 6,184,249,600
  5. Step 5: Solve for x
    x = 6,184,249,600/36,080
  6. Step 6: Final answer
    x = 171,403.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.