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Finding the Third Proportional to 305,646 and 472,318

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Solution

The third proportional to 305,646 and 472,318 is: 729,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,646 : 472,318 = 472,318 : x
  2. Step 2: Convert to fraction form
    305,646/472,318 = 472,318/x
  3. Step 3: Cross multiply
    305,646x = 472,318 × 472,318
  4. Step 4: Simplify right side
    305,646x = 223,084,293,124
  5. Step 5: Solve for x
    x = 223,084,293,124/305,646
  6. Step 6: Final answer
    x = 729,878.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.