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Finding the Third Proportional to 178,699.50 and 392,937

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Solution

The third proportional to 178,699.50 and 392,937 is: 864,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,699.50 : 392,937 = 392,937 : x
  2. Step 2: Convert to fraction form
    178,699.50/392,937 = 392,937/x
  3. Step 3: Cross multiply
    178,699.50x = 392,937 × 392,937
  4. Step 4: Simplify right side
    178,699.50x = 154,399,485,969
  5. Step 5: Solve for x
    x = 154,399,485,969/178,699.50
  6. Step 6: Final answer
    x = 864,017.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.