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Finding the Third Proportional to 200,080.13 and 472,300.88

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Solution

The third proportional to 200,080.13 and 472,300.88 is: 1,114,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,080.13 : 472,300.88 = 472,300.88 : x
  2. Step 2: Convert to fraction form
    200,080.13/472,300.88 = 472,300.88/x
  3. Step 3: Cross multiply
    200,080.13x = 472,300.88 × 472,300.88
  4. Step 4: Simplify right side
    200,080.13x = 223,068,116,525.77
  5. Step 5: Solve for x
    x = 223,068,116,525.77/200,080.13
  6. Step 6: Final answer
    x = 1,114,893.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.