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Finding the Third Proportional to 216,713.81 and 287,555.91

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Solution

The third proportional to 216,713.81 and 287,555.91 is: 381,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,713.81 : 287,555.91 = 287,555.91 : x
  2. Step 2: Convert to fraction form
    216,713.81/287,555.91 = 287,555.91/x
  3. Step 3: Cross multiply
    216,713.81x = 287,555.91 × 287,555.91
  4. Step 4: Simplify right side
    216,713.81x = 82,688,399,219.26
  5. Step 5: Solve for x
    x = 82,688,399,219.26/216,713.81
  6. Step 6: Final answer
    x = 381,555.74

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.