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Finding the Third Proportional to 72,360 and 108,402

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Solution

The third proportional to 72,360 and 108,402 is: 162,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,360 : 108,402 = 108,402 : x
  2. Step 2: Convert to fraction form
    72,360/108,402 = 108,402/x
  3. Step 3: Cross multiply
    72,360x = 108,402 × 108,402
  4. Step 4: Simplify right side
    72,360x = 11,750,993,604
  5. Step 5: Solve for x
    x = 11,750,993,604/72,360
  6. Step 6: Final answer
    x = 162,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.