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Finding the Third Proportional to 76,600 and 162,032

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Solution

The third proportional to 76,600 and 162,032 is: 342,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,600 : 162,032 = 162,032 : x
  2. Step 2: Convert to fraction form
    76,600/162,032 = 162,032/x
  3. Step 3: Cross multiply
    76,600x = 162,032 × 162,032
  4. Step 4: Simplify right side
    76,600x = 26,254,369,024
  5. Step 5: Solve for x
    x = 26,254,369,024/76,600
  6. Step 6: Final answer
    x = 342,746.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.