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Finding the Third Proportional to 245,603 and 515,974

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Solution

The third proportional to 245,603 and 515,974 is: 1,083,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,603 : 515,974 = 515,974 : x
  2. Step 2: Convert to fraction form
    245,603/515,974 = 515,974/x
  3. Step 3: Cross multiply
    245,603x = 515,974 × 515,974
  4. Step 4: Simplify right side
    245,603x = 266,229,168,676
  5. Step 5: Solve for x
    x = 266,229,168,676/245,603
  6. Step 6: Final answer
    x = 1,083,981.75

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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.