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Finding the Third Proportional to 415,974 and 608,361

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Solution

The third proportional to 415,974 and 608,361 is: 889,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,974 : 608,361 = 608,361 : x
  2. Step 2: Convert to fraction form
    415,974/608,361 = 608,361/x
  3. Step 3: Cross multiply
    415,974x = 608,361 × 608,361
  4. Step 4: Simplify right side
    415,974x = 370,103,106,321
  5. Step 5: Solve for x
    x = 370,103,106,321/415,974
  6. Step 6: Final answer
    x = 889,726.54

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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.