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Finding the Third Proportional to 145,636 and 219,786

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Solution

The third proportional to 145,636 and 219,786 is: 331,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636 : 219,786 = 219,786 : x
  2. Step 2: Convert to fraction form
    145,636/219,786 = 219,786/x
  3. Step 3: Cross multiply
    145,636x = 219,786 × 219,786
  4. Step 4: Simplify right side
    145,636x = 48,305,885,796
  5. Step 5: Solve for x
    x = 48,305,885,796/145,636
  6. Step 6: Final answer
    x = 331,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.