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Finding the Third Proportional to 74,480 and 168,440

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Solution

The third proportional to 74,480 and 168,440 is: 380,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,480 : 168,440 = 168,440 : x
  2. Step 2: Convert to fraction form
    74,480/168,440 = 168,440/x
  3. Step 3: Cross multiply
    74,480x = 168,440 × 168,440
  4. Step 4: Simplify right side
    74,480x = 28,372,033,600
  5. Step 5: Solve for x
    x = 28,372,033,600/74,480
  6. Step 6: Final answer
    x = 380,934.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.