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Finding the Third Proportional to 145,183 and 312,609

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Solution

The third proportional to 145,183 and 312,609 is: 673,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,183 : 312,609 = 312,609 : x
  2. Step 2: Convert to fraction form
    145,183/312,609 = 312,609/x
  3. Step 3: Cross multiply
    145,183x = 312,609 × 312,609
  4. Step 4: Simplify right side
    145,183x = 97,724,386,881
  5. Step 5: Solve for x
    x = 97,724,386,881/145,183
  6. Step 6: Final answer
    x = 673,111.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.