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Finding the Third Proportional to 268,648 and 411,400

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Solution

The third proportional to 268,648 and 411,400 is: 630,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,648 : 411,400 = 411,400 : x
  2. Step 2: Convert to fraction form
    268,648/411,400 = 411,400/x
  3. Step 3: Cross multiply
    268,648x = 411,400 × 411,400
  4. Step 4: Simplify right side
    268,648x = 169,249,960,000
  5. Step 5: Solve for x
    x = 169,249,960,000/268,648
  6. Step 6: Final answer
    x = 630,006.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.