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Finding the Third Proportional to 138,904.88 and 306,726.75

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Solution

The third proportional to 138,904.88 and 306,726.75 is: 677,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.88 : 306,726.75 = 306,726.75 : x
  2. Step 2: Convert to fraction form
    138,904.88/306,726.75 = 306,726.75/x
  3. Step 3: Cross multiply
    138,904.88x = 306,726.75 × 306,726.75
  4. Step 4: Simplify right side
    138,904.88x = 94,081,299,165.56
  5. Step 5: Solve for x
    x = 94,081,299,165.56/138,904.88
  6. Step 6: Final answer
    x = 677,307.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.