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Finding the Third Proportional to 391,409 and 606,053

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Solution

The third proportional to 391,409 and 606,053 is: 938,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,409 : 606,053 = 606,053 : x
  2. Step 2: Convert to fraction form
    391,409/606,053 = 606,053/x
  3. Step 3: Cross multiply
    391,409x = 606,053 × 606,053
  4. Step 4: Simplify right side
    391,409x = 367,300,238,809
  5. Step 5: Solve for x
    x = 367,300,238,809/391,409
  6. Step 6: Final answer
    x = 938,405.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.