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Finding the Third Proportional to 211,455 and 311,341.50

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Solution

The third proportional to 211,455 and 311,341.50 is: 458,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,455 : 311,341.50 = 311,341.50 : x
  2. Step 2: Convert to fraction form
    211,455/311,341.50 = 311,341.50/x
  3. Step 3: Cross multiply
    211,455x = 311,341.50 × 311,341.50
  4. Step 4: Simplify right side
    211,455x = 96,933,529,622.25
  5. Step 5: Solve for x
    x = 96,933,529,622.25/211,455
  6. Step 6: Final answer
    x = 458,412.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.