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Finding the Third Proportional to 118,710 and 280,224

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Solution

The third proportional to 118,710 and 280,224 is: 661,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,710 : 280,224 = 280,224 : x
  2. Step 2: Convert to fraction form
    118,710/280,224 = 280,224/x
  3. Step 3: Cross multiply
    118,710x = 280,224 × 280,224
  4. Step 4: Simplify right side
    118,710x = 78,525,490,176
  5. Step 5: Solve for x
    x = 78,525,490,176/118,710
  6. Step 6: Final answer
    x = 661,490.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.