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Finding the Third Proportional to 146,072 and 306,900

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Solution

The third proportional to 146,072 and 306,900 is: 644,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,072 : 306,900 = 306,900 : x
  2. Step 2: Convert to fraction form
    146,072/306,900 = 306,900/x
  3. Step 3: Cross multiply
    146,072x = 306,900 × 306,900
  4. Step 4: Simplify right side
    146,072x = 94,187,610,000
  5. Step 5: Solve for x
    x = 94,187,610,000/146,072
  6. Step 6: Final answer
    x = 644,802.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.