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Finding the Third Proportional to 258,225 and 398,862

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Solution

The third proportional to 258,225 and 398,862 is: 616,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,225 : 398,862 = 398,862 : x
  2. Step 2: Convert to fraction form
    258,225/398,862 = 398,862/x
  3. Step 3: Cross multiply
    258,225x = 398,862 × 398,862
  4. Step 4: Simplify right side
    258,225x = 159,090,895,044
  5. Step 5: Solve for x
    x = 159,090,895,044/258,225
  6. Step 6: Final answer
    x = 616,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.