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Finding the Third Proportional to 69,440 and 143,804

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Solution

The third proportional to 69,440 and 143,804 is: 297,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,440 : 143,804 = 143,804 : x
  2. Step 2: Convert to fraction form
    69,440/143,804 = 143,804/x
  3. Step 3: Cross multiply
    69,440x = 143,804 × 143,804
  4. Step 4: Simplify right side
    69,440x = 20,679,590,416
  5. Step 5: Solve for x
    x = 20,679,590,416/69,440
  6. Step 6: Final answer
    x = 297,805.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.