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Finding the Third Proportional to 245,601 and 515,970

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Solution

The third proportional to 245,601 and 515,970 is: 1,083,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,601 : 515,970 = 515,970 : x
  2. Step 2: Convert to fraction form
    245,601/515,970 = 515,970/x
  3. Step 3: Cross multiply
    245,601x = 515,970 × 515,970
  4. Step 4: Simplify right side
    245,601x = 266,225,040,900
  5. Step 5: Solve for x
    x = 266,225,040,900/245,601
  6. Step 6: Final answer
    x = 1,083,973.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.