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Finding the Third Proportional to 221,439 and 312,043.50

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Solution

The third proportional to 221,439 and 312,043.50 is: 439,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,439 : 312,043.50 = 312,043.50 : x
  2. Step 2: Convert to fraction form
    221,439/312,043.50 = 312,043.50/x
  3. Step 3: Cross multiply
    221,439x = 312,043.50 × 312,043.50
  4. Step 4: Simplify right side
    221,439x = 97,371,145,892.25
  5. Step 5: Solve for x
    x = 97,371,145,892.25/221,439
  6. Step 6: Final answer
    x = 439,719.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.