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Finding the Third Proportional to 188,342 and 406,559

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Solution

The third proportional to 188,342 and 406,559 is: 877,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,342 : 406,559 = 406,559 : x
  2. Step 2: Convert to fraction form
    188,342/406,559 = 406,559/x
  3. Step 3: Cross multiply
    188,342x = 406,559 × 406,559
  4. Step 4: Simplify right side
    188,342x = 165,290,220,481
  5. Step 5: Solve for x
    x = 165,290,220,481/188,342
  6. Step 6: Final answer
    x = 877,606.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.