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Finding the Third Proportional to 265,567.50 and 406,431

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Solution

The third proportional to 265,567.50 and 406,431 is: 622,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,567.50 : 406,431 = 406,431 : x
  2. Step 2: Convert to fraction form
    265,567.50/406,431 = 406,431/x
  3. Step 3: Cross multiply
    265,567.50x = 406,431 × 406,431
  4. Step 4: Simplify right side
    265,567.50x = 165,186,157,761
  5. Step 5: Solve for x
    x = 165,186,157,761/265,567.50
  6. Step 6: Final answer
    x = 622,011.95

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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.