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Finding the Third Proportional to 142,889 and 319,609

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Solution

The third proportional to 142,889 and 319,609 is: 714,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,889 : 319,609 = 319,609 : x
  2. Step 2: Convert to fraction form
    142,889/319,609 = 319,609/x
  3. Step 3: Cross multiply
    142,889x = 319,609 × 319,609
  4. Step 4: Simplify right side
    142,889x = 102,149,912,881
  5. Step 5: Solve for x
    x = 102,149,912,881/142,889
  6. Step 6: Final answer
    x = 714,889.97

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.