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Finding the Third Proportional to 178,038 and 388,908

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Solution

The third proportional to 178,038 and 388,908 is: 849,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038 : 388,908 = 388,908 : x
  2. Step 2: Convert to fraction form
    178,038/388,908 = 388,908/x
  3. Step 3: Cross multiply
    178,038x = 388,908 × 388,908
  4. Step 4: Simplify right side
    178,038x = 151,249,432,464
  5. Step 5: Solve for x
    x = 151,249,432,464/178,038
  6. Step 6: Final answer
    x = 849,534.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.