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Finding the Third Proportional to 401,418.75 and 587,058

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Solution

The third proportional to 401,418.75 and 587,058 is: 858,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,418.75 : 587,058 = 587,058 : x
  2. Step 2: Convert to fraction form
    401,418.75/587,058 = 587,058/x
  3. Step 3: Cross multiply
    401,418.75x = 587,058 × 587,058
  4. Step 4: Simplify right side
    401,418.75x = 344,637,095,364
  5. Step 5: Solve for x
    x = 344,637,095,364/401,418.75
  6. Step 6: Final answer
    x = 858,547.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.