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Finding the Third Proportional to 319,615 and 710,172

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Solution

The third proportional to 319,615 and 710,172 is: 1,577,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,615 : 710,172 = 710,172 : x
  2. Step 2: Convert to fraction form
    319,615/710,172 = 710,172/x
  3. Step 3: Cross multiply
    319,615x = 710,172 × 710,172
  4. Step 4: Simplify right side
    319,615x = 504,344,269,584
  5. Step 5: Solve for x
    x = 504,344,269,584/319,615
  6. Step 6: Final answer
    x = 1,577,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.