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Finding the Third Proportional to 76,681.69 and 117,703.13

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Solution

The third proportional to 76,681.69 and 117,703.13 is: 180,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.69 : 117,703.13 = 117,703.13 : x
  2. Step 2: Convert to fraction form
    76,681.69/117,703.13 = 117,703.13/x
  3. Step 3: Cross multiply
    76,681.69x = 117,703.13 × 117,703.13
  4. Step 4: Simplify right side
    76,681.69x = 13,854,025,634.77
  5. Step 5: Solve for x
    x = 13,854,025,634.77/76,681.69
  6. Step 6: Final answer
    x = 180,669.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.