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Finding the Third Proportional to 76,434.75 and 112,405.50

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Solution

The third proportional to 76,434.75 and 112,405.50 is: 165,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.75 : 112,405.50 = 112,405.50 : x
  2. Step 2: Convert to fraction form
    76,434.75/112,405.50 = 112,405.50/x
  3. Step 3: Cross multiply
    76,434.75x = 112,405.50 × 112,405.50
  4. Step 4: Simplify right side
    76,434.75x = 12,634,996,430.25
  5. Step 5: Solve for x
    x = 12,634,996,430.25/76,434.75
  6. Step 6: Final answer
    x = 165,304.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.