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Finding the Third Proportional to 312,910 and 470,863

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Solution

The third proportional to 312,910 and 470,863 is: 708,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,910 : 470,863 = 470,863 : x
  2. Step 2: Convert to fraction form
    312,910/470,863 = 470,863/x
  3. Step 3: Cross multiply
    312,910x = 470,863 × 470,863
  4. Step 4: Simplify right side
    312,910x = 221,711,964,769
  5. Step 5: Solve for x
    x = 221,711,964,769/312,910
  6. Step 6: Final answer
    x = 708,548.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.