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Finding the Third Proportional to 199,584 and 426,840

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Solution

The third proportional to 199,584 and 426,840 is: 912,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584 : 426,840 = 426,840 : x
  2. Step 2: Convert to fraction form
    199,584/426,840 = 426,840/x
  3. Step 3: Cross multiply
    199,584x = 426,840 × 426,840
  4. Step 4: Simplify right side
    199,584x = 182,192,385,600
  5. Step 5: Solve for x
    x = 182,192,385,600/199,584
  6. Step 6: Final answer
    x = 912,860.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.