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Finding the Third Proportional to 143,148 and 304,728

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Solution

The third proportional to 143,148 and 304,728 is: 648,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,148 : 304,728 = 304,728 : x
  2. Step 2: Convert to fraction form
    143,148/304,728 = 304,728/x
  3. Step 3: Cross multiply
    143,148x = 304,728 × 304,728
  4. Step 4: Simplify right side
    143,148x = 92,859,153,984
  5. Step 5: Solve for x
    x = 92,859,153,984/143,148
  6. Step 6: Final answer
    x = 648,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.