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Finding the Third Proportional to 289,582 and 638,104

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Solution

The third proportional to 289,582 and 638,104 is: 1,406,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,582 : 638,104 = 638,104 : x
  2. Step 2: Convert to fraction form
    289,582/638,104 = 638,104/x
  3. Step 3: Cross multiply
    289,582x = 638,104 × 638,104
  4. Step 4: Simplify right side
    289,582x = 407,176,714,816
  5. Step 5: Solve for x
    x = 407,176,714,816/289,582
  6. Step 6: Final answer
    x = 1,406,084.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.