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Finding the Third Proportional to 312,923.25 and 470,842.88

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Solution

The third proportional to 312,923.25 and 470,842.88 is: 708,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,923.25 : 470,842.88 = 470,842.88 : x
  2. Step 2: Convert to fraction form
    312,923.25/470,842.88 = 470,842.88/x
  3. Step 3: Cross multiply
    312,923.25x = 470,842.88 × 470,842.88
  4. Step 4: Simplify right side
    312,923.25x = 221,693,012,938.27
  5. Step 5: Solve for x
    x = 221,693,012,938.27/312,923.25
  6. Step 6: Final answer
    x = 708,458.11

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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.