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Finding the Third Proportional to 258,612.75 and 401,368.50

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Solution

The third proportional to 258,612.75 and 401,368.50 is: 622,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,612.75 : 401,368.50 = 401,368.50 : x
  2. Step 2: Convert to fraction form
    258,612.75/401,368.50 = 401,368.50/x
  3. Step 3: Cross multiply
    258,612.75x = 401,368.50 × 401,368.50
  4. Step 4: Simplify right side
    258,612.75x = 161,096,672,792.25
  5. Step 5: Solve for x
    x = 161,096,672,792.25/258,612.75
  6. Step 6: Final answer
    x = 622,926.26

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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.