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Finding the Third Proportional to 411,432 and 617,148

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Solution

The third proportional to 411,432 and 617,148 is: 925,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,432 : 617,148 = 617,148 : x
  2. Step 2: Convert to fraction form
    411,432/617,148 = 617,148/x
  3. Step 3: Cross multiply
    411,432x = 617,148 × 617,148
  4. Step 4: Simplify right side
    411,432x = 380,871,653,904
  5. Step 5: Solve for x
    x = 380,871,653,904/411,432
  6. Step 6: Final answer
    x = 925,722

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.