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Finding the Third Proportional to 309,802 and 458,946

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Solution

The third proportional to 309,802 and 458,946 is: 679,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,802 : 458,946 = 458,946 : x
  2. Step 2: Convert to fraction form
    309,802/458,946 = 458,946/x
  3. Step 3: Cross multiply
    309,802x = 458,946 × 458,946
  4. Step 4: Simplify right side
    309,802x = 210,631,430,916
  5. Step 5: Solve for x
    x = 210,631,430,916/309,802
  6. Step 6: Final answer
    x = 679,890.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.