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Finding the Third Proportional to 144,979 and 312,410

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Solution

The third proportional to 144,979 and 312,410 is: 673,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,979 : 312,410 = 312,410 : x
  2. Step 2: Convert to fraction form
    144,979/312,410 = 312,410/x
  3. Step 3: Cross multiply
    144,979x = 312,410 × 312,410
  4. Step 4: Simplify right side
    144,979x = 97,600,008,100
  5. Step 5: Solve for x
    x = 97,600,008,100/144,979
  6. Step 6: Final answer
    x = 673,201.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.