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Finding the Third Proportional to 69,776 and 143,224

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Solution

The third proportional to 69,776 and 143,224 is: 293,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,776 : 143,224 = 143,224 : x
  2. Step 2: Convert to fraction form
    69,776/143,224 = 143,224/x
  3. Step 3: Cross multiply
    69,776x = 143,224 × 143,224
  4. Step 4: Simplify right side
    69,776x = 20,513,114,176
  5. Step 5: Solve for x
    x = 20,513,114,176/69,776
  6. Step 6: Final answer
    x = 293,985.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.