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Finding the Third Proportional to 278,907 and 610,362

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Solution

The third proportional to 278,907 and 610,362 is: 1,335,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,907 : 610,362 = 610,362 : x
  2. Step 2: Convert to fraction form
    278,907/610,362 = 610,362/x
  3. Step 3: Cross multiply
    278,907x = 610,362 × 610,362
  4. Step 4: Simplify right side
    278,907x = 372,541,771,044
  5. Step 5: Solve for x
    x = 372,541,771,044/278,907
  6. Step 6: Final answer
    x = 1,335,720.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.