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Finding the Third Proportional to 73,014.50 and 112,746

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Solution

The third proportional to 73,014.50 and 112,746 is: 174,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,014.50 : 112,746 = 112,746 : x
  2. Step 2: Convert to fraction form
    73,014.50/112,746 = 112,746/x
  3. Step 3: Cross multiply
    73,014.50x = 112,746 × 112,746
  4. Step 4: Simplify right side
    73,014.50x = 12,711,660,516
  5. Step 5: Solve for x
    x = 12,711,660,516/73,014.50
  6. Step 6: Final answer
    x = 174,097.75

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