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Finding the Third Proportional to 131,300 and 316,556

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Solution

The third proportional to 131,300 and 316,556 is: 763,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,300 : 316,556 = 316,556 : x
  2. Step 2: Convert to fraction form
    131,300/316,556 = 316,556/x
  3. Step 3: Cross multiply
    131,300x = 316,556 × 316,556
  4. Step 4: Simplify right side
    131,300x = 100,207,701,136
  5. Step 5: Solve for x
    x = 100,207,701,136/131,300
  6. Step 6: Final answer
    x = 763,196.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.