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Finding the Third Proportional to 255,897 and 391,668.75

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Solution

The third proportional to 255,897 and 391,668.75 is: 599,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,897 : 391,668.75 = 391,668.75 : x
  2. Step 2: Convert to fraction form
    255,897/391,668.75 = 391,668.75/x
  3. Step 3: Cross multiply
    255,897x = 391,668.75 × 391,668.75
  4. Step 4: Simplify right side
    255,897x = 153,404,409,726.56
  5. Step 5: Solve for x
    x = 153,404,409,726.56/255,897
  6. Step 6: Final answer
    x = 599,477.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.