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Finding the Third Proportional to 315,178 and 674,642

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Solution

The third proportional to 315,178 and 674,642 is: 1,444,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,178 : 674,642 = 674,642 : x
  2. Step 2: Convert to fraction form
    315,178/674,642 = 674,642/x
  3. Step 3: Cross multiply
    315,178x = 674,642 × 674,642
  4. Step 4: Simplify right side
    315,178x = 455,141,828,164
  5. Step 5: Solve for x
    x = 455,141,828,164/315,178
  6. Step 6: Final answer
    x = 1,444,078.67

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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.