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Finding the Third Proportional to 144,820 and 319,108

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Solution

The third proportional to 144,820 and 319,108 is: 703,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820 : 319,108 = 319,108 : x
  2. Step 2: Convert to fraction form
    144,820/319,108 = 319,108/x
  3. Step 3: Cross multiply
    144,820x = 319,108 × 319,108
  4. Step 4: Simplify right side
    144,820x = 101,829,915,664
  5. Step 5: Solve for x
    x = 101,829,915,664/144,820
  6. Step 6: Final answer
    x = 703,148.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.