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Finding the Third Proportional to 305,258 and 663,064

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Solution

The third proportional to 305,258 and 663,064 is: 1,440,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,258 : 663,064 = 663,064 : x
  2. Step 2: Convert to fraction form
    305,258/663,064 = 663,064/x
  3. Step 3: Cross multiply
    305,258x = 663,064 × 663,064
  4. Step 4: Simplify right side
    305,258x = 439,653,868,096
  5. Step 5: Solve for x
    x = 439,653,868,096/305,258
  6. Step 6: Final answer
    x = 1,440,269.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.