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Finding the Third Proportional to 289,444 and 620,423

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Solution

The third proportional to 289,444 and 620,423 is: 1,329,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,444 : 620,423 = 620,423 : x
  2. Step 2: Convert to fraction form
    289,444/620,423 = 620,423/x
  3. Step 3: Cross multiply
    289,444x = 620,423 × 620,423
  4. Step 4: Simplify right side
    289,444x = 384,924,698,929
  5. Step 5: Solve for x
    x = 384,924,698,929/289,444
  6. Step 6: Final answer
    x = 1,329,876.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.