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Finding the Third Proportional to 448,751 and 689,735

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Solution

The third proportional to 448,751 and 689,735 is: 1,060,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,751 : 689,735 = 689,735 : x
  2. Step 2: Convert to fraction form
    448,751/689,735 = 689,735/x
  3. Step 3: Cross multiply
    448,751x = 689,735 × 689,735
  4. Step 4: Simplify right side
    448,751x = 475,734,370,225
  5. Step 5: Solve for x
    x = 475,734,370,225/448,751
  6. Step 6: Final answer
    x = 1,060,129.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.