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Finding the Third Proportional to 40,316 and 87,556

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Solution

The third proportional to 40,316 and 87,556 is: 190,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 87,556 = 87,556 : x
  2. Step 2: Convert to fraction form
    40,316/87,556 = 87,556/x
  3. Step 3: Cross multiply
    40,316x = 87,556 × 87,556
  4. Step 4: Simplify right side
    40,316x = 7,666,053,136
  5. Step 5: Solve for x
    x = 7,666,053,136/40,316
  6. Step 6: Final answer
    x = 190,149.15

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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.