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Finding the Third Proportional to 178,871 and 372,430

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Solution

The third proportional to 178,871 and 372,430 is: 775,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,871 : 372,430 = 372,430 : x
  2. Step 2: Convert to fraction form
    178,871/372,430 = 372,430/x
  3. Step 3: Cross multiply
    178,871x = 372,430 × 372,430
  4. Step 4: Simplify right side
    178,871x = 138,704,104,900
  5. Step 5: Solve for x
    x = 138,704,104,900/178,871
  6. Step 6: Final answer
    x = 775,442.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.