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Finding the Third Proportional to 319,832 and 689,488

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Solution

The third proportional to 319,832 and 689,488 is: 1,486,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,832 : 689,488 = 689,488 : x
  2. Step 2: Convert to fraction form
    319,832/689,488 = 689,488/x
  3. Step 3: Cross multiply
    319,832x = 689,488 × 689,488
  4. Step 4: Simplify right side
    319,832x = 475,393,702,144
  5. Step 5: Solve for x
    x = 475,393,702,144/319,832
  6. Step 6: Final answer
    x = 1,486,385.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.