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Finding the Third Proportional to 415,471.50 and 918,135

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Solution

The third proportional to 415,471.50 and 918,135 is: 2,028,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,471.50 : 918,135 = 918,135 : x
  2. Step 2: Convert to fraction form
    415,471.50/918,135 = 918,135/x
  3. Step 3: Cross multiply
    415,471.50x = 918,135 × 918,135
  4. Step 4: Simplify right side
    415,471.50x = 842,971,878,225
  5. Step 5: Solve for x
    x = 842,971,878,225/415,471.50
  6. Step 6: Final answer
    x = 2,028,952.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.