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Finding the Third Proportional to 312,954 and 470,928

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Solution

The third proportional to 312,954 and 470,928 is: 708,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,954 : 470,928 = 470,928 : x
  2. Step 2: Convert to fraction form
    312,954/470,928 = 470,928/x
  3. Step 3: Cross multiply
    312,954x = 470,928 × 470,928
  4. Step 4: Simplify right side
    312,954x = 221,773,181,184
  5. Step 5: Solve for x
    x = 221,773,181,184/312,954
  6. Step 6: Final answer
    x = 708,644.66

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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.