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Finding the Third Proportional to 66,829.50 and 140,139

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Solution

The third proportional to 66,829.50 and 140,139 is: 293,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,829.50 : 140,139 = 140,139 : x
  2. Step 2: Convert to fraction form
    66,829.50/140,139 = 140,139/x
  3. Step 3: Cross multiply
    66,829.50x = 140,139 × 140,139
  4. Step 4: Simplify right side
    66,829.50x = 19,638,939,321
  5. Step 5: Solve for x
    x = 19,638,939,321/66,829.50
  6. Step 6: Final answer
    x = 293,866.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.