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Finding the Third Proportional to 378,918 and 583,929

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Solution

The third proportional to 378,918 and 583,929 is: 899,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,918 : 583,929 = 583,929 : x
  2. Step 2: Convert to fraction form
    378,918/583,929 = 583,929/x
  3. Step 3: Cross multiply
    378,918x = 583,929 × 583,929
  4. Step 4: Simplify right side
    378,918x = 340,973,077,041
  5. Step 5: Solve for x
    x = 340,973,077,041/378,918
  6. Step 6: Final answer
    x = 899,859.80

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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.