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Finding the Third Proportional to 144,448 and 215,464

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Solution

The third proportional to 144,448 and 215,464 is: 321,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,448 : 215,464 = 215,464 : x
  2. Step 2: Convert to fraction form
    144,448/215,464 = 215,464/x
  3. Step 3: Cross multiply
    144,448x = 215,464 × 215,464
  4. Step 4: Simplify right side
    144,448x = 46,424,735,296
  5. Step 5: Solve for x
    x = 46,424,735,296/144,448
  6. Step 6: Final answer
    x = 321,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.