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Finding the Third Proportional to 240,119 and 517,480

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Solution

The third proportional to 240,119 and 517,480 is: 1,115,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,119 : 517,480 = 517,480 : x
  2. Step 2: Convert to fraction form
    240,119/517,480 = 517,480/x
  3. Step 3: Cross multiply
    240,119x = 517,480 × 517,480
  4. Step 4: Simplify right side
    240,119x = 267,785,550,400
  5. Step 5: Solve for x
    x = 267,785,550,400/240,119
  6. Step 6: Final answer
    x = 1,115,220.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.