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Finding the Third Proportional to 312,937 and 470,861

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Solution

The third proportional to 312,937 and 470,861 is: 708,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,937 : 470,861 = 470,861 : x
  2. Step 2: Convert to fraction form
    312,937/470,861 = 470,861/x
  3. Step 3: Cross multiply
    312,937x = 470,861 × 470,861
  4. Step 4: Simplify right side
    312,937x = 221,710,081,321
  5. Step 5: Solve for x
    x = 221,710,081,321/312,937
  6. Step 6: Final answer
    x = 708,481.52

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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.