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Finding the Third Proportional to 448,645 and 689,595

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Solution

The third proportional to 448,645 and 689,595 is: 1,059,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,645 : 689,595 = 689,595 : x
  2. Step 2: Convert to fraction form
    448,645/689,595 = 689,595/x
  3. Step 3: Cross multiply
    448,645x = 689,595 × 689,595
  4. Step 4: Simplify right side
    448,645x = 475,541,264,025
  5. Step 5: Solve for x
    x = 475,541,264,025/448,645
  6. Step 6: Final answer
    x = 1,059,949.99

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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.