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Finding the Third Proportional to 289,458 and 623,214

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Solution

The third proportional to 289,458 and 623,214 is: 1,341,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,458 : 623,214 = 623,214 : x
  2. Step 2: Convert to fraction form
    289,458/623,214 = 623,214/x
  3. Step 3: Cross multiply
    289,458x = 623,214 × 623,214
  4. Step 4: Simplify right side
    289,458x = 388,395,689,796
  5. Step 5: Solve for x
    x = 388,395,689,796/289,458
  6. Step 6: Final answer
    x = 1,341,803.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.