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Finding the Third Proportional to 153,619 and 319,501

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Solution

The third proportional to 153,619 and 319,501 is: 664,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,619 : 319,501 = 319,501 : x
  2. Step 2: Convert to fraction form
    153,619/319,501 = 319,501/x
  3. Step 3: Cross multiply
    153,619x = 319,501 × 319,501
  4. Step 4: Simplify right side
    153,619x = 102,080,889,001
  5. Step 5: Solve for x
    x = 102,080,889,001/153,619
  6. Step 6: Final answer
    x = 664,506.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.