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Finding the Third Proportional to 415,258.50 and 647,475.75

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Solution

The third proportional to 415,258.50 and 647,475.75 is: 1,009,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,258.50 : 647,475.75 = 647,475.75 : x
  2. Step 2: Convert to fraction form
    415,258.50/647,475.75 = 647,475.75/x
  3. Step 3: Cross multiply
    415,258.50x = 647,475.75 × 647,475.75
  4. Step 4: Simplify right side
    415,258.50x = 419,224,846,838.06
  5. Step 5: Solve for x
    x = 419,224,846,838.06/415,258.50
  6. Step 6: Final answer
    x = 1,009,551.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.