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Finding the Third Proportional to 72,360 and 149,328

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Solution

The third proportional to 72,360 and 149,328 is: 308,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,360 : 149,328 = 149,328 : x
  2. Step 2: Convert to fraction form
    72,360/149,328 = 149,328/x
  3. Step 3: Cross multiply
    72,360x = 149,328 × 149,328
  4. Step 4: Simplify right side
    72,360x = 22,298,851,584
  5. Step 5: Solve for x
    x = 22,298,851,584/72,360
  6. Step 6: Final answer
    x = 308,165.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.