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Finding the Third Proportional to 66,868 and 105,810

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Solution

The third proportional to 66,868 and 105,810 is: 167,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868 : 105,810 = 105,810 : x
  2. Step 2: Convert to fraction form
    66,868/105,810 = 105,810/x
  3. Step 3: Cross multiply
    66,868x = 105,810 × 105,810
  4. Step 4: Simplify right side
    66,868x = 11,195,756,100
  5. Step 5: Solve for x
    x = 11,195,756,100/66,868
  6. Step 6: Final answer
    x = 167,430.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.