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Finding the Third Proportional to 66,869 and 145,730

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Solution

The third proportional to 66,869 and 145,730 is: 317,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,869 : 145,730 = 145,730 : x
  2. Step 2: Convert to fraction form
    66,869/145,730 = 145,730/x
  3. Step 3: Cross multiply
    66,869x = 145,730 × 145,730
  4. Step 4: Simplify right side
    66,869x = 21,237,232,900
  5. Step 5: Solve for x
    x = 21,237,232,900/66,869
  6. Step 6: Final answer
    x = 317,594.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.