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Finding the Third Proportional to 319,120 and 472,518

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Solution

The third proportional to 319,120 and 472,518 is: 699,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,120 : 472,518 = 472,518 : x
  2. Step 2: Convert to fraction form
    319,120/472,518 = 472,518/x
  3. Step 3: Cross multiply
    319,120x = 472,518 × 472,518
  4. Step 4: Simplify right side
    319,120x = 223,273,260,324
  5. Step 5: Solve for x
    x = 223,273,260,324/319,120
  6. Step 6: Final answer
    x = 699,652.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.