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Finding the Third Proportional to 178,130 and 373,540

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Solution

The third proportional to 178,130 and 373,540 is: 783,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,130 : 373,540 = 373,540 : x
  2. Step 2: Convert to fraction form
    178,130/373,540 = 373,540/x
  3. Step 3: Cross multiply
    178,130x = 373,540 × 373,540
  4. Step 4: Simplify right side
    178,130x = 139,532,131,600
  5. Step 5: Solve for x
    x = 139,532,131,600/178,130
  6. Step 6: Final answer
    x = 783,316.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.