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Finding the Third Proportional to 258,044 and 398,730

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Solution

The third proportional to 258,044 and 398,730 is: 616,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,044 : 398,730 = 398,730 : x
  2. Step 2: Convert to fraction form
    258,044/398,730 = 398,730/x
  3. Step 3: Cross multiply
    258,044x = 398,730 × 398,730
  4. Step 4: Simplify right side
    258,044x = 158,985,612,900
  5. Step 5: Solve for x
    x = 158,985,612,900/258,044
  6. Step 6: Final answer
    x = 616,118.23

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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.