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Finding the Third Proportional to 289,430 and 601,036

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Solution

The third proportional to 289,430 and 601,036 is: 1,248,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,430 : 601,036 = 601,036 : x
  2. Step 2: Convert to fraction form
    289,430/601,036 = 601,036/x
  3. Step 3: Cross multiply
    289,430x = 601,036 × 601,036
  4. Step 4: Simplify right side
    289,430x = 361,244,273,296
  5. Step 5: Solve for x
    x = 361,244,273,296/289,430
  6. Step 6: Final answer
    x = 1,248,123.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.