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Finding the Third Proportional to 144,077 and 310,348

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Solution

The third proportional to 144,077 and 310,348 is: 668,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,077 : 310,348 = 310,348 : x
  2. Step 2: Convert to fraction form
    144,077/310,348 = 310,348/x
  3. Step 3: Cross multiply
    144,077x = 310,348 × 310,348
  4. Step 4: Simplify right side
    144,077x = 96,315,881,104
  5. Step 5: Solve for x
    x = 96,315,881,104/144,077
  6. Step 6: Final answer
    x = 668,502.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.