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Finding the Third Proportional to 258,040 and 398,724

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Solution

The third proportional to 258,040 and 398,724 is: 616,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,040 : 398,724 = 398,724 : x
  2. Step 2: Convert to fraction form
    258,040/398,724 = 398,724/x
  3. Step 3: Cross multiply
    258,040x = 398,724 × 398,724
  4. Step 4: Simplify right side
    258,040x = 158,980,828,176
  5. Step 5: Solve for x
    x = 158,980,828,176/258,040
  6. Step 6: Final answer
    x = 616,109.24

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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.