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Finding the Third Proportional to 289,242 and 625,274

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Solution

The third proportional to 289,242 and 625,274 is: 1,351,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,242 : 625,274 = 625,274 : x
  2. Step 2: Convert to fraction form
    289,242/625,274 = 625,274/x
  3. Step 3: Cross multiply
    289,242x = 625,274 × 625,274
  4. Step 4: Simplify right side
    289,242x = 390,967,575,076
  5. Step 5: Solve for x
    x = 390,967,575,076/289,242
  6. Step 6: Final answer
    x = 1,351,697.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.