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Finding the Third Proportional to 309,800 and 458,943

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Solution

The third proportional to 309,800 and 458,943 is: 679,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,800 : 458,943 = 458,943 : x
  2. Step 2: Convert to fraction form
    309,800/458,943 = 458,943/x
  3. Step 3: Cross multiply
    309,800x = 458,943 × 458,943
  4. Step 4: Simplify right side
    309,800x = 210,628,677,249
  5. Step 5: Solve for x
    x = 210,628,677,249/309,800
  6. Step 6: Final answer
    x = 679,885.98

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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.