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Finding the Third Proportional to 200,966.50 and 319,900

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Solution

The third proportional to 200,966.50 and 319,900 is: 509,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.50 : 319,900 = 319,900 : x
  2. Step 2: Convert to fraction form
    200,966.50/319,900 = 319,900/x
  3. Step 3: Cross multiply
    200,966.50x = 319,900 × 319,900
  4. Step 4: Simplify right side
    200,966.50x = 102,336,010,000
  5. Step 5: Solve for x
    x = 102,336,010,000/200,966.50
  6. Step 6: Final answer
    x = 509,219.25

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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.