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Finding the Third Proportional to 155,101 and 319,900

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Solution

The third proportional to 155,101 and 319,900 is: 659,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,101 : 319,900 = 319,900 : x
  2. Step 2: Convert to fraction form
    155,101/319,900 = 319,900/x
  3. Step 3: Cross multiply
    155,101x = 319,900 × 319,900
  4. Step 4: Simplify right side
    155,101x = 102,336,010,000
  5. Step 5: Solve for x
    x = 102,336,010,000/155,101
  6. Step 6: Final answer
    x = 659,802.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.