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Finding the Third Proportional to 312,931 and 470,855

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Solution

The third proportional to 312,931 and 470,855 is: 708,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,931 : 470,855 = 470,855 : x
  2. Step 2: Convert to fraction form
    312,931/470,855 = 470,855/x
  3. Step 3: Cross multiply
    312,931x = 470,855 × 470,855
  4. Step 4: Simplify right side
    312,931x = 221,704,431,025
  5. Step 5: Solve for x
    x = 221,704,431,025/312,931
  6. Step 6: Final answer
    x = 708,477.05

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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.