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Finding the Third Proportional to 312,216 and 446,148

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Solution

The third proportional to 312,216 and 446,148 is: 637,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,216 : 446,148 = 446,148 : x
  2. Step 2: Convert to fraction form
    312,216/446,148 = 446,148/x
  3. Step 3: Cross multiply
    312,216x = 446,148 × 446,148
  4. Step 4: Simplify right side
    312,216x = 199,048,037,904
  5. Step 5: Solve for x
    x = 199,048,037,904/312,216
  6. Step 6: Final answer
    x = 637,533.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.