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Finding the Third Proportional to 188,588.75 and 406,702

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Solution

The third proportional to 188,588.75 and 406,702 is: 877,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588.75 : 406,702 = 406,702 : x
  2. Step 2: Convert to fraction form
    188,588.75/406,702 = 406,702/x
  3. Step 3: Cross multiply
    188,588.75x = 406,702 × 406,702
  4. Step 4: Simplify right side
    188,588.75x = 165,406,516,804
  5. Step 5: Solve for x
    x = 165,406,516,804/188,588.75
  6. Step 6: Final answer
    x = 877,075.21

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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.