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Finding the Third Proportional to 131,556 and 285,288

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Solution

The third proportional to 131,556 and 285,288 is: 618,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,556 : 285,288 = 285,288 : x
  2. Step 2: Convert to fraction form
    131,556/285,288 = 285,288/x
  3. Step 3: Cross multiply
    131,556x = 285,288 × 285,288
  4. Step 4: Simplify right side
    131,556x = 81,389,242,944
  5. Step 5: Solve for x
    x = 81,389,242,944/131,556
  6. Step 6: Final answer
    x = 618,666.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.