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Finding the Third Proportional to 312,086 and 470,889

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Solution

The third proportional to 312,086 and 470,889 is: 710,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,086 : 470,889 = 470,889 : x
  2. Step 2: Convert to fraction form
    312,086/470,889 = 470,889/x
  3. Step 3: Cross multiply
    312,086x = 470,889 × 470,889
  4. Step 4: Simplify right side
    312,086x = 221,736,450,321
  5. Step 5: Solve for x
    x = 221,736,450,321/312,086
  6. Step 6: Final answer
    x = 710,497.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.