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Finding the Third Proportional to 144,576 and 313,287

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Solution

The third proportional to 144,576 and 313,287 is: 678,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,576 : 313,287 = 313,287 : x
  2. Step 2: Convert to fraction form
    144,576/313,287 = 313,287/x
  3. Step 3: Cross multiply
    144,576x = 313,287 × 313,287
  4. Step 4: Simplify right side
    144,576x = 98,148,744,369
  5. Step 5: Solve for x
    x = 98,148,744,369/144,576
  6. Step 6: Final answer
    x = 678,873.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.