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Finding the Third Proportional to 219,032 and 316,518

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Solution

The third proportional to 219,032 and 316,518 is: 457,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032 : 316,518 = 316,518 : x
  2. Step 2: Convert to fraction form
    219,032/316,518 = 316,518/x
  3. Step 3: Cross multiply
    219,032x = 316,518 × 316,518
  4. Step 4: Simplify right side
    219,032x = 100,183,644,324
  5. Step 5: Solve for x
    x = 100,183,644,324/219,032
  6. Step 6: Final answer
    x = 457,392.73

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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.