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Finding the Third Proportional to 258,053 and 410,888

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Solution

The third proportional to 258,053 and 410,888 is: 654,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,053 : 410,888 = 410,888 : x
  2. Step 2: Convert to fraction form
    258,053/410,888 = 410,888/x
  3. Step 3: Cross multiply
    258,053x = 410,888 × 410,888
  4. Step 4: Simplify right side
    258,053x = 168,828,948,544
  5. Step 5: Solve for x
    x = 168,828,948,544/258,053
  6. Step 6: Final answer
    x = 654,241.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.