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Finding the Third Proportional to 312,908 and 470,860

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Solution

The third proportional to 312,908 and 470,860 is: 708,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,908 : 470,860 = 470,860 : x
  2. Step 2: Convert to fraction form
    312,908/470,860 = 470,860/x
  3. Step 3: Cross multiply
    312,908x = 470,860 × 470,860
  4. Step 4: Simplify right side
    312,908x = 221,709,139,600
  5. Step 5: Solve for x
    x = 221,709,139,600/312,908
  6. Step 6: Final answer
    x = 708,544.17

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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.