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Finding the Third Proportional to 78,682.50 and 121,011.75

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Solution

The third proportional to 78,682.50 and 121,011.75 is: 186,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.50 : 121,011.75 = 121,011.75 : x
  2. Step 2: Convert to fraction form
    78,682.50/121,011.75 = 121,011.75/x
  3. Step 3: Cross multiply
    78,682.50x = 121,011.75 × 121,011.75
  4. Step 4: Simplify right side
    78,682.50x = 14,643,843,638.06
  5. Step 5: Solve for x
    x = 14,643,843,638.06/78,682.50
  6. Step 6: Final answer
    x = 186,113.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.