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Finding the Third Proportional to 380,472 and 589,940

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Solution

The third proportional to 380,472 and 589,940 is: 914,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,472 : 589,940 = 589,940 : x
  2. Step 2: Convert to fraction form
    380,472/589,940 = 589,940/x
  3. Step 3: Cross multiply
    380,472x = 589,940 × 589,940
  4. Step 4: Simplify right side
    380,472x = 348,029,203,600
  5. Step 5: Solve for x
    x = 348,029,203,600/380,472
  6. Step 6: Final answer
    x = 914,730.13

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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.