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Finding the Third Proportional to 211,318 and 310,508

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Solution

The third proportional to 211,318 and 310,508 is: 456,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,318 : 310,508 = 310,508 : x
  2. Step 2: Convert to fraction form
    211,318/310,508 = 310,508/x
  3. Step 3: Cross multiply
    211,318x = 310,508 × 310,508
  4. Step 4: Simplify right side
    211,318x = 96,415,218,064
  5. Step 5: Solve for x
    x = 96,415,218,064/211,318
  6. Step 6: Final answer
    x = 456,256.53

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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.