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Finding the Third Proportional to 72,820 and 157,160

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Solution

The third proportional to 72,820 and 157,160 is: 339,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,820 : 157,160 = 157,160 : x
  2. Step 2: Convert to fraction form
    72,820/157,160 = 157,160/x
  3. Step 3: Cross multiply
    72,820x = 157,160 × 157,160
  4. Step 4: Simplify right side
    72,820x = 24,699,265,600
  5. Step 5: Solve for x
    x = 24,699,265,600/72,820
  6. Step 6: Final answer
    x = 339,182.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.