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Finding the Third Proportional to 298,964 and 436,935

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Solution

The third proportional to 298,964 and 436,935 is: 638,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964 : 436,935 = 436,935 : x
  2. Step 2: Convert to fraction form
    298,964/436,935 = 436,935/x
  3. Step 3: Cross multiply
    298,964x = 436,935 × 436,935
  4. Step 4: Simplify right side
    298,964x = 190,912,194,225
  5. Step 5: Solve for x
    x = 190,912,194,225/298,964
  6. Step 6: Final answer
    x = 638,579.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.