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Finding the Third Proportional to 144,820 and 214,972

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Solution

The third proportional to 144,820 and 214,972 is: 319,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820 : 214,972 = 214,972 : x
  2. Step 2: Convert to fraction form
    144,820/214,972 = 214,972/x
  3. Step 3: Cross multiply
    144,820x = 214,972 × 214,972
  4. Step 4: Simplify right side
    144,820x = 46,212,960,784
  5. Step 5: Solve for x
    x = 46,212,960,784/144,820
  6. Step 6: Final answer
    x = 319,106.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.