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Finding the Third Proportional to 130,071 and 280,878

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Solution

The third proportional to 130,071 and 280,878 is: 606,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,071 : 280,878 = 280,878 : x
  2. Step 2: Convert to fraction form
    130,071/280,878 = 280,878/x
  3. Step 3: Cross multiply
    130,071x = 280,878 × 280,878
  4. Step 4: Simplify right side
    130,071x = 78,892,450,884
  5. Step 5: Solve for x
    x = 78,892,450,884/130,071
  6. Step 6: Final answer
    x = 606,533.75

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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.