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Finding the Third Proportional to 398,532 and 842,136

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Solution

The third proportional to 398,532 and 842,136 is: 1,779,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,532 : 842,136 = 842,136 : x
  2. Step 2: Convert to fraction form
    398,532/842,136 = 842,136/x
  3. Step 3: Cross multiply
    398,532x = 842,136 × 842,136
  4. Step 4: Simplify right side
    398,532x = 709,193,042,496
  5. Step 5: Solve for x
    x = 709,193,042,496/398,532
  6. Step 6: Final answer
    x = 1,779,513.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.