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Finding the Third Proportional to 91,681.88 and 138,130.31

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Solution

The third proportional to 91,681.88 and 138,130.31 is: 208,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,681.88 : 138,130.31 = 138,130.31 : x
  2. Step 2: Convert to fraction form
    91,681.88/138,130.31 = 138,130.31/x
  3. Step 3: Cross multiply
    91,681.88x = 138,130.31 × 138,130.31
  4. Step 4: Simplify right side
    91,681.88x = 19,079,983,231.35
  5. Step 5: Solve for x
    x = 19,079,983,231.35/91,681.88
  6. Step 6: Final answer
    x = 208,110.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.