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Finding the Third Proportional to 1,421,916 and 2,180,379

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Solution

The third proportional to 1,421,916 and 2,180,379 is: 3,343,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,916 : 2,180,379 = 2,180,379 : x
  2. Step 2: Convert to fraction form
    1,421,916/2,180,379 = 2,180,379/x
  3. Step 3: Cross multiply
    1,421,916x = 2,180,379 × 2,180,379
  4. Step 4: Simplify right side
    1,421,916x = 4,754,052,583,641
  5. Step 5: Solve for x
    x = 4,754,052,583,641/1,421,916
  6. Step 6: Final answer
    x = 3,343,413.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.