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Finding the Third Proportional to 245,413 and 519,116

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Solution

The third proportional to 245,413 and 519,116 is: 1,098,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,413 : 519,116 = 519,116 : x
  2. Step 2: Convert to fraction form
    245,413/519,116 = 519,116/x
  3. Step 3: Cross multiply
    245,413x = 519,116 × 519,116
  4. Step 4: Simplify right side
    245,413x = 269,481,421,456
  5. Step 5: Solve for x
    x = 269,481,421,456/245,413
  6. Step 6: Final answer
    x = 1,098,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.