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Finding the Third Proportional to 261,798 and 402,993

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Solution

The third proportional to 261,798 and 402,993 is: 620,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,798 : 402,993 = 402,993 : x
  2. Step 2: Convert to fraction form
    261,798/402,993 = 402,993/x
  3. Step 3: Cross multiply
    261,798x = 402,993 × 402,993
  4. Step 4: Simplify right side
    261,798x = 162,403,358,049
  5. Step 5: Solve for x
    x = 162,403,358,049/261,798
  6. Step 6: Final answer
    x = 620,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.