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Finding the Third Proportional to 489,345 and 1,078,024

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Solution

The third proportional to 489,345 and 1,078,024 is: 2,374,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,345 : 1,078,024 = 1,078,024 : x
  2. Step 2: Convert to fraction form
    489,345/1,078,024 = 1,078,024/x
  3. Step 3: Cross multiply
    489,345x = 1,078,024 × 1,078,024
  4. Step 4: Simplify right side
    489,345x = 1,162,135,744,576
  5. Step 5: Solve for x
    x = 1,162,135,744,576/489,345
  6. Step 6: Final answer
    x = 2,374,880.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.