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Finding the Third Proportional to 200,420 and 319,583

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Solution

The third proportional to 200,420 and 319,583 is: 509,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420 : 319,583 = 319,583 : x
  2. Step 2: Convert to fraction form
    200,420/319,583 = 319,583/x
  3. Step 3: Cross multiply
    200,420x = 319,583 × 319,583
  4. Step 4: Simplify right side
    200,420x = 102,133,293,889
  5. Step 5: Solve for x
    x = 102,133,293,889/200,420
  6. Step 6: Final answer
    x = 509,596.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.