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Finding the Third Proportional to 179,480 and 388,678

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Solution

The third proportional to 179,480 and 388,678 is: 841,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,480 : 388,678 = 388,678 : x
  2. Step 2: Convert to fraction form
    179,480/388,678 = 388,678/x
  3. Step 3: Cross multiply
    179,480x = 388,678 × 388,678
  4. Step 4: Simplify right side
    179,480x = 151,070,587,684
  5. Step 5: Solve for x
    x = 151,070,587,684/179,480
  6. Step 6: Final answer
    x = 841,712.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.