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Finding the Third Proportional to 65,706.19 and 137,973.38

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Solution

The third proportional to 65,706.19 and 137,973.38 is: 289,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.19 : 137,973.38 = 137,973.38 : x
  2. Step 2: Convert to fraction form
    65,706.19/137,973.38 = 137,973.38/x
  3. Step 3: Cross multiply
    65,706.19x = 137,973.38 × 137,973.38
  4. Step 4: Simplify right side
    65,706.19x = 19,036,652,208.89
  5. Step 5: Solve for x
    x = 19,036,652,208.89/65,706.19
  6. Step 6: Final answer
    x = 289,723.89

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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.