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Finding the Third Proportional to 219,032 and 318,340

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Solution

The third proportional to 219,032 and 318,340 is: 462,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032 : 318,340 = 318,340 : x
  2. Step 2: Convert to fraction form
    219,032/318,340 = 318,340/x
  3. Step 3: Cross multiply
    219,032x = 318,340 × 318,340
  4. Step 4: Simplify right side
    219,032x = 101,340,355,600
  5. Step 5: Solve for x
    x = 101,340,355,600/219,032
  6. Step 6: Final answer
    x = 462,673.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.