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Finding the Third Proportional to 218,316 and 475,080

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Solution

The third proportional to 218,316 and 475,080 is: 1,033,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,316 : 475,080 = 475,080 : x
  2. Step 2: Convert to fraction form
    218,316/475,080 = 475,080/x
  3. Step 3: Cross multiply
    218,316x = 475,080 × 475,080
  4. Step 4: Simplify right side
    218,316x = 225,701,006,400
  5. Step 5: Solve for x
    x = 225,701,006,400/218,316
  6. Step 6: Final answer
    x = 1,033,827.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.