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Finding the Third Proportional to 319,630 and 683,000

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Solution

The third proportional to 319,630 and 683,000 is: 1,459,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,630 : 683,000 = 683,000 : x
  2. Step 2: Convert to fraction form
    319,630/683,000 = 683,000/x
  3. Step 3: Cross multiply
    319,630x = 683,000 × 683,000
  4. Step 4: Simplify right side
    319,630x = 466,489,000,000
  5. Step 5: Solve for x
    x = 466,489,000,000/319,630
  6. Step 6: Final answer
    x = 1,459,465.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.