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Finding the Third Proportional to 221,064.19 and 312,868.90

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Solution

The third proportional to 221,064.19 and 312,868.90 is: 442,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,064.19 : 312,868.90 = 312,868.90 : x
  2. Step 2: Convert to fraction form
    221,064.19/312,868.90 = 312,868.90/x
  3. Step 3: Cross multiply
    221,064.19x = 312,868.90 × 312,868.90
  4. Step 4: Simplify right side
    221,064.19x = 97,886,947,609.49
  5. Step 5: Solve for x
    x = 97,886,947,609.49/221,064.19
  6. Step 6: Final answer
    x = 442,798.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.