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Finding the Third Proportional to 146,154 and 312,072

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Solution

The third proportional to 146,154 and 312,072 is: 666,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,154 : 312,072 = 312,072 : x
  2. Step 2: Convert to fraction form
    146,154/312,072 = 312,072/x
  3. Step 3: Cross multiply
    146,154x = 312,072 × 312,072
  4. Step 4: Simplify right side
    146,154x = 97,388,933,184
  5. Step 5: Solve for x
    x = 97,388,933,184/146,154
  6. Step 6: Final answer
    x = 666,344.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.