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Finding the Third Proportional to 103,621 and 157,455

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Solution

The third proportional to 103,621 and 157,455 is: 239,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621 : 157,455 = 157,455 : x
  2. Step 2: Convert to fraction form
    103,621/157,455 = 157,455/x
  3. Step 3: Cross multiply
    103,621x = 157,455 × 157,455
  4. Step 4: Simplify right side
    103,621x = 24,792,077,025
  5. Step 5: Solve for x
    x = 24,792,077,025/103,621
  6. Step 6: Final answer
    x = 239,257.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.