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Finding the Third Proportional to 144,401 and 307,509

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Solution

The third proportional to 144,401 and 307,509 is: 654,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,401 : 307,509 = 307,509 : x
  2. Step 2: Convert to fraction form
    144,401/307,509 = 307,509/x
  3. Step 3: Cross multiply
    144,401x = 307,509 × 307,509
  4. Step 4: Simplify right side
    144,401x = 94,561,785,081
  5. Step 5: Solve for x
    x = 94,561,785,081/144,401
  6. Step 6: Final answer
    x = 654,855.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.