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Finding the Third Proportional to 136,314 and 289,025.50

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Solution

The third proportional to 136,314 and 289,025.50 is: 612,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,314 : 289,025.50 = 289,025.50 : x
  2. Step 2: Convert to fraction form
    136,314/289,025.50 = 289,025.50/x
  3. Step 3: Cross multiply
    136,314x = 289,025.50 × 289,025.50
  4. Step 4: Simplify right side
    136,314x = 83,535,739,650.25
  5. Step 5: Solve for x
    x = 83,535,739,650.25/136,314
  6. Step 6: Final answer
    x = 612,818.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.