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Finding the Third Proportional to 291,543 and 449,767.50

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Solution

The third proportional to 291,543 and 449,767.50 is: 693,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,543 : 449,767.50 = 449,767.50 : x
  2. Step 2: Convert to fraction form
    291,543/449,767.50 = 449,767.50/x
  3. Step 3: Cross multiply
    291,543x = 449,767.50 × 449,767.50
  4. Step 4: Simplify right side
    291,543x = 202,290,804,056.25
  5. Step 5: Solve for x
    x = 202,290,804,056.25/291,543
  6. Step 6: Final answer
    x = 693,862.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.