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Finding the Third Proportional to 178,158 and 392,028

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Solution

The third proportional to 178,158 and 392,028 is: 862,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,158 : 392,028 = 392,028 : x
  2. Step 2: Convert to fraction form
    178,158/392,028 = 392,028/x
  3. Step 3: Cross multiply
    178,158x = 392,028 × 392,028
  4. Step 4: Simplify right side
    178,158x = 153,685,952,784
  5. Step 5: Solve for x
    x = 153,685,952,784/178,158
  6. Step 6: Final answer
    x = 862,638.52

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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.