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Finding the Third Proportional to 378,548 and 586,048

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Solution

The third proportional to 378,548 and 586,048 is: 907,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,548 : 586,048 = 586,048 : x
  2. Step 2: Convert to fraction form
    378,548/586,048 = 586,048/x
  3. Step 3: Cross multiply
    378,548x = 586,048 × 586,048
  4. Step 4: Simplify right side
    378,548x = 343,452,258,304
  5. Step 5: Solve for x
    x = 343,452,258,304/378,548
  6. Step 6: Final answer
    x = 907,288.53

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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.