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Finding the Third Proportional to 316,458.56 and 692,998.88

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Solution

The third proportional to 316,458.56 and 692,998.88 is: 1,517,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,458.56 : 692,998.88 = 692,998.88 : x
  2. Step 2: Convert to fraction form
    316,458.56/692,998.88 = 692,998.88/x
  3. Step 3: Cross multiply
    316,458.56x = 692,998.88 × 692,998.88
  4. Step 4: Simplify right side
    316,458.56x = 480,247,440,751.27
  5. Step 5: Solve for x
    x = 480,247,440,751.27/316,458.56
  6. Step 6: Final answer
    x = 1,517,568.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.