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Finding the Third Proportional to 192,130 and 283,222

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Solution

The third proportional to 192,130 and 283,222 is: 417,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,130 : 283,222 = 283,222 : x
  2. Step 2: Convert to fraction form
    192,130/283,222 = 283,222/x
  3. Step 3: Cross multiply
    192,130x = 283,222 × 283,222
  4. Step 4: Simplify right side
    192,130x = 80,214,701,284
  5. Step 5: Solve for x
    x = 80,214,701,284/192,130
  6. Step 6: Final answer
    x = 417,502.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.