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Finding the Third Proportional to 180,802.63 and 388,816.13

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Solution

The third proportional to 180,802.63 and 388,816.13 is: 836,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802.63 : 388,816.13 = 388,816.13 : x
  2. Step 2: Convert to fraction form
    180,802.63/388,816.13 = 388,816.13/x
  3. Step 3: Cross multiply
    180,802.63x = 388,816.13 × 388,816.13
  4. Step 4: Simplify right side
    180,802.63x = 151,177,979,060.02
  5. Step 5: Solve for x
    x = 151,177,979,060.02/180,802.63
  6. Step 6: Final answer
    x = 836,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.