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Finding the Third Proportional to 65,210.50 and 137,425.75

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Solution

The third proportional to 65,210.50 and 137,425.75 is: 289,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.50 : 137,425.75 = 137,425.75 : x
  2. Step 2: Convert to fraction form
    65,210.50/137,425.75 = 137,425.75/x
  3. Step 3: Cross multiply
    65,210.50x = 137,425.75 × 137,425.75
  4. Step 4: Simplify right side
    65,210.50x = 18,885,836,763.06
  5. Step 5: Solve for x
    x = 18,885,836,763.06/65,210.50
  6. Step 6: Final answer
    x = 289,613.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.