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Finding the Third Proportional to 289,466 and 623,230

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Solution

The third proportional to 289,466 and 623,230 is: 1,341,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,466 : 623,230 = 623,230 : x
  2. Step 2: Convert to fraction form
    289,466/623,230 = 623,230/x
  3. Step 3: Cross multiply
    289,466x = 623,230 × 623,230
  4. Step 4: Simplify right side
    289,466x = 388,415,632,900
  5. Step 5: Solve for x
    x = 388,415,632,900/289,466
  6. Step 6: Final answer
    x = 1,341,835.08

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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.