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Finding the Third Proportional to 154,630 and 328,216

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Solution

The third proportional to 154,630 and 328,216 is: 696,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,630 : 328,216 = 328,216 : x
  2. Step 2: Convert to fraction form
    154,630/328,216 = 328,216/x
  3. Step 3: Cross multiply
    154,630x = 328,216 × 328,216
  4. Step 4: Simplify right side
    154,630x = 107,725,742,656
  5. Step 5: Solve for x
    x = 107,725,742,656/154,630
  6. Step 6: Final answer
    x = 696,667.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.