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Finding the Third Proportional to 253,560 and 531,540

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Solution

The third proportional to 253,560 and 531,540 is: 1,114,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,560 : 531,540 = 531,540 : x
  2. Step 2: Convert to fraction form
    253,560/531,540 = 531,540/x
  3. Step 3: Cross multiply
    253,560x = 531,540 × 531,540
  4. Step 4: Simplify right side
    253,560x = 282,534,771,600
  5. Step 5: Solve for x
    x = 282,534,771,600/253,560
  6. Step 6: Final answer
    x = 1,114,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.