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Finding the Third Proportional to 131,249 and 286,556

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Solution

The third proportional to 131,249 and 286,556 is: 625,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,249 : 286,556 = 286,556 : x
  2. Step 2: Convert to fraction form
    131,249/286,556 = 286,556/x
  3. Step 3: Cross multiply
    131,249x = 286,556 × 286,556
  4. Step 4: Simplify right side
    131,249x = 82,114,341,136
  5. Step 5: Solve for x
    x = 82,114,341,136/131,249
  6. Step 6: Final answer
    x = 625,637.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.