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Finding the Third Proportional to 72,983 and 157,220

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Solution

The third proportional to 72,983 and 157,220 is: 338,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983 : 157,220 = 157,220 : x
  2. Step 2: Convert to fraction form
    72,983/157,220 = 157,220/x
  3. Step 3: Cross multiply
    72,983x = 157,220 × 157,220
  4. Step 4: Simplify right side
    72,983x = 24,718,128,400
  5. Step 5: Solve for x
    x = 24,718,128,400/72,983
  6. Step 6: Final answer
    x = 338,683.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.