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Finding the Third Proportional to 317,900.25 and 445,602.38

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Solution

The third proportional to 317,900.25 and 445,602.38 is: 624,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,900.25 : 445,602.38 = 445,602.38 : x
  2. Step 2: Convert to fraction form
    317,900.25/445,602.38 = 445,602.38/x
  3. Step 3: Cross multiply
    317,900.25x = 445,602.38 × 445,602.38
  4. Step 4: Simplify right side
    317,900.25x = 198,561,476,605.64
  5. Step 5: Solve for x
    x = 198,561,476,605.64/317,900.25
  6. Step 6: Final answer
    x = 624,603.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.