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Finding the Third Proportional to 144,614 and 322,430

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Solution

The third proportional to 144,614 and 322,430 is: 718,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,614 : 322,430 = 322,430 : x
  2. Step 2: Convert to fraction form
    144,614/322,430 = 322,430/x
  3. Step 3: Cross multiply
    144,614x = 322,430 × 322,430
  4. Step 4: Simplify right side
    144,614x = 103,961,104,900
  5. Step 5: Solve for x
    x = 103,961,104,900/144,614
  6. Step 6: Final answer
    x = 718,886.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.