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Finding the Third Proportional to 265,570 and 406,435

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Solution

The third proportional to 265,570 and 406,435 is: 622,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,570 : 406,435 = 406,435 : x
  2. Step 2: Convert to fraction form
    265,570/406,435 = 406,435/x
  3. Step 3: Cross multiply
    265,570x = 406,435 × 406,435
  4. Step 4: Simplify right side
    265,570x = 165,189,409,225
  5. Step 5: Solve for x
    x = 165,189,409,225/265,570
  6. Step 6: Final answer
    x = 622,018.33

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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.