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Finding the Third Proportional to 71,630 and 157,556

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Solution

The third proportional to 71,630 and 157,556 is: 346,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,630 : 157,556 = 157,556 : x
  2. Step 2: Convert to fraction form
    71,630/157,556 = 157,556/x
  3. Step 3: Cross multiply
    71,630x = 157,556 × 157,556
  4. Step 4: Simplify right side
    71,630x = 24,823,893,136
  5. Step 5: Solve for x
    x = 24,823,893,136/71,630
  6. Step 6: Final answer
    x = 346,557.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.