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Finding the Third Proportional to 200,046 and 433,990.50

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Solution

The third proportional to 200,046 and 433,990.50 is: 941,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,046 : 433,990.50 = 433,990.50 : x
  2. Step 2: Convert to fraction form
    200,046/433,990.50 = 433,990.50/x
  3. Step 3: Cross multiply
    200,046x = 433,990.50 × 433,990.50
  4. Step 4: Simplify right side
    200,046x = 188,347,754,090.25
  5. Step 5: Solve for x
    x = 188,347,754,090.25/200,046
  6. Step 6: Final answer
    x = 941,522.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.