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Finding the Third Proportional to 258,031 and 390,939

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Solution

The third proportional to 258,031 and 390,939 is: 592,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,031 : 390,939 = 390,939 : x
  2. Step 2: Convert to fraction form
    258,031/390,939 = 390,939/x
  3. Step 3: Cross multiply
    258,031x = 390,939 × 390,939
  4. Step 4: Simplify right side
    258,031x = 152,833,301,721
  5. Step 5: Solve for x
    x = 152,833,301,721/258,031
  6. Step 6: Final answer
    x = 592,305.97

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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.