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Finding the Third Proportional to 253,215 and 545,431

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Solution

The third proportional to 253,215 and 545,431 is: 1,174,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,215 : 545,431 = 545,431 : x
  2. Step 2: Convert to fraction form
    253,215/545,431 = 545,431/x
  3. Step 3: Cross multiply
    253,215x = 545,431 × 545,431
  4. Step 4: Simplify right side
    253,215x = 297,494,975,761
  5. Step 5: Solve for x
    x = 297,494,975,761/253,215
  6. Step 6: Final answer
    x = 1,174,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.