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Finding the Third Proportional to 178,420.50 and 384,693

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Solution

The third proportional to 178,420.50 and 384,693 is: 829,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,420.50 : 384,693 = 384,693 : x
  2. Step 2: Convert to fraction form
    178,420.50/384,693 = 384,693/x
  3. Step 3: Cross multiply
    178,420.50x = 384,693 × 384,693
  4. Step 4: Simplify right side
    178,420.50x = 147,988,704,249
  5. Step 5: Solve for x
    x = 147,988,704,249/178,420.50
  6. Step 6: Final answer
    x = 829,437.78

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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.