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Finding the Third Proportional to 157,635 and 350,257.50

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Solution

The third proportional to 157,635 and 350,257.50 is: 778,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,635 : 350,257.50 = 350,257.50 : x
  2. Step 2: Convert to fraction form
    157,635/350,257.50 = 350,257.50/x
  3. Step 3: Cross multiply
    157,635x = 350,257.50 × 350,257.50
  4. Step 4: Simplify right side
    157,635x = 122,680,316,306.25
  5. Step 5: Solve for x
    x = 122,680,316,306.25/157,635
  6. Step 6: Final answer
    x = 778,255.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.