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Finding the Third Proportional to 258,041 and 390,950

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Solution

The third proportional to 258,041 and 390,950 is: 592,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,041 : 390,950 = 390,950 : x
  2. Step 2: Convert to fraction form
    258,041/390,950 = 390,950/x
  3. Step 3: Cross multiply
    258,041x = 390,950 × 390,950
  4. Step 4: Simplify right side
    258,041x = 152,841,902,500
  5. Step 5: Solve for x
    x = 152,841,902,500/258,041
  6. Step 6: Final answer
    x = 592,316.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.