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Finding the Third Proportional to 305,820 and 472,364

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Solution

The third proportional to 305,820 and 472,364 is: 729,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,820 : 472,364 = 472,364 : x
  2. Step 2: Convert to fraction form
    305,820/472,364 = 472,364/x
  3. Step 3: Cross multiply
    305,820x = 472,364 × 472,364
  4. Step 4: Simplify right side
    305,820x = 223,127,748,496
  5. Step 5: Solve for x
    x = 223,127,748,496/305,820
  6. Step 6: Final answer
    x = 729,604.83

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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.