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Finding the Third Proportional to 309,798 and 458,940

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Solution

The third proportional to 309,798 and 458,940 is: 679,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,798 : 458,940 = 458,940 : x
  2. Step 2: Convert to fraction form
    309,798/458,940 = 458,940/x
  3. Step 3: Cross multiply
    309,798x = 458,940 × 458,940
  4. Step 4: Simplify right side
    309,798x = 210,625,923,600
  5. Step 5: Solve for x
    x = 210,625,923,600/309,798
  6. Step 6: Final answer
    x = 679,881.48

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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.