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Finding the Third Proportional to 190,577 and 406,480

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Solution

The third proportional to 190,577 and 406,480 is: 866,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,577 : 406,480 = 406,480 : x
  2. Step 2: Convert to fraction form
    190,577/406,480 = 406,480/x
  3. Step 3: Cross multiply
    190,577x = 406,480 × 406,480
  4. Step 4: Simplify right side
    190,577x = 165,225,990,400
  5. Step 5: Solve for x
    x = 165,225,990,400/190,577
  6. Step 6: Final answer
    x = 866,977.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.