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Finding the Third Proportional to 70,345 and 143,295

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Solution

The third proportional to 70,345 and 143,295 is: 291,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345 : 143,295 = 143,295 : x
  2. Step 2: Convert to fraction form
    70,345/143,295 = 143,295/x
  3. Step 3: Cross multiply
    70,345x = 143,295 × 143,295
  4. Step 4: Simplify right side
    70,345x = 20,533,457,025
  5. Step 5: Solve for x
    x = 20,533,457,025/70,345
  6. Step 6: Final answer
    x = 291,896.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.