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Finding the Third Proportional to 319,439 and 683,200

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Solution

The third proportional to 319,439 and 683,200 is: 1,461,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,439 : 683,200 = 683,200 : x
  2. Step 2: Convert to fraction form
    319,439/683,200 = 683,200/x
  3. Step 3: Cross multiply
    319,439x = 683,200 × 683,200
  4. Step 4: Simplify right side
    319,439x = 466,762,240,000
  5. Step 5: Solve for x
    x = 466,762,240,000/319,439
  6. Step 6: Final answer
    x = 1,461,193.66

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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.