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Finding the Third Proportional to 138,480 and 303,312

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Solution

The third proportional to 138,480 and 303,312 is: 664,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,480 : 303,312 = 303,312 : x
  2. Step 2: Convert to fraction form
    138,480/303,312 = 303,312/x
  3. Step 3: Cross multiply
    138,480x = 303,312 × 303,312
  4. Step 4: Simplify right side
    138,480x = 91,998,169,344
  5. Step 5: Solve for x
    x = 91,998,169,344/138,480
  6. Step 6: Final answer
    x = 664,342.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.