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Finding the Third Proportional to 448,664 and 689,624

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Solution

The third proportional to 448,664 and 689,624 is: 1,059,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,664 : 689,624 = 689,624 : x
  2. Step 2: Convert to fraction form
    448,664/689,624 = 689,624/x
  3. Step 3: Cross multiply
    448,664x = 689,624 × 689,624
  4. Step 4: Simplify right side
    448,664x = 475,581,261,376
  5. Step 5: Solve for x
    x = 475,581,261,376/448,664
  6. Step 6: Final answer
    x = 1,059,994.25

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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.