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Finding the Third Proportional to 144,286 and 319,709

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Solution

The third proportional to 144,286 and 319,709 is: 708,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,286 : 319,709 = 319,709 : x
  2. Step 2: Convert to fraction form
    144,286/319,709 = 319,709/x
  3. Step 3: Cross multiply
    144,286x = 319,709 × 319,709
  4. Step 4: Simplify right side
    144,286x = 102,213,844,681
  5. Step 5: Solve for x
    x = 102,213,844,681/144,286
  6. Step 6: Final answer
    x = 708,411.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.