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Finding the Third Proportional to 398,170 and 866,316

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Solution

The third proportional to 398,170 and 866,316 is: 1,884,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,170 : 866,316 = 866,316 : x
  2. Step 2: Convert to fraction form
    398,170/866,316 = 866,316/x
  3. Step 3: Cross multiply
    398,170x = 866,316 × 866,316
  4. Step 4: Simplify right side
    398,170x = 750,503,411,856
  5. Step 5: Solve for x
    x = 750,503,411,856/398,170
  6. Step 6: Final answer
    x = 1,884,881.86

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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.