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Finding the Third Proportional to 201,913.07 and 312,605.26

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Solution

The third proportional to 201,913.07 and 312,605.26 is: 483,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.07 : 312,605.26 = 312,605.26 : x
  2. Step 2: Convert to fraction form
    201,913.07/312,605.26 = 312,605.26/x
  3. Step 3: Cross multiply
    201,913.07x = 312,605.26 × 312,605.26
  4. Step 4: Simplify right side
    201,913.07x = 97,722,049,654.25
  5. Step 5: Solve for x
    x = 97,722,049,654.25/201,913.07
  6. Step 6: Final answer
    x = 483,980.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.