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Finding the Third Proportional to 258,339.75 and 407,319

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Solution

The third proportional to 258,339.75 and 407,319 is: 642,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,339.75 : 407,319 = 407,319 : x
  2. Step 2: Convert to fraction form
    258,339.75/407,319 = 407,319/x
  3. Step 3: Cross multiply
    258,339.75x = 407,319 × 407,319
  4. Step 4: Simplify right side
    258,339.75x = 165,908,767,761
  5. Step 5: Solve for x
    x = 165,908,767,761/258,339.75
  6. Step 6: Final answer
    x = 642,211.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.