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Finding the Third Proportional to 77,712.75 and 120,457.50

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Solution

The third proportional to 77,712.75 and 120,457.50 is: 186,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.75 : 120,457.50 = 120,457.50 : x
  2. Step 2: Convert to fraction form
    77,712.75/120,457.50 = 120,457.50/x
  3. Step 3: Cross multiply
    77,712.75x = 120,457.50 × 120,457.50
  4. Step 4: Simplify right side
    77,712.75x = 14,510,009,306.25
  5. Step 5: Solve for x
    x = 14,510,009,306.25/77,712.75
  6. Step 6: Final answer
    x = 186,713.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.