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Finding the Third Proportional to 178,445 and 262,735

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Solution

The third proportional to 178,445 and 262,735 is: 386,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,445 : 262,735 = 262,735 : x
  2. Step 2: Convert to fraction form
    178,445/262,735 = 262,735/x
  3. Step 3: Cross multiply
    178,445x = 262,735 × 262,735
  4. Step 4: Simplify right side
    178,445x = 69,029,680,225
  5. Step 5: Solve for x
    x = 69,029,680,225/178,445
  6. Step 6: Final answer
    x = 386,840.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.