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Finding the Third Proportional to 245,840 and 371,009

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Solution

The third proportional to 245,840 and 371,009 is: 559,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,840 : 371,009 = 371,009 : x
  2. Step 2: Convert to fraction form
    245,840/371,009 = 371,009/x
  3. Step 3: Cross multiply
    245,840x = 371,009 × 371,009
  4. Step 4: Simplify right side
    245,840x = 137,647,678,081
  5. Step 5: Solve for x
    x = 137,647,678,081/245,840
  6. Step 6: Final answer
    x = 559,907.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.