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Finding the Third Proportional to 390,250 and 851,221

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Solution

The third proportional to 390,250 and 851,221 is: 1,856,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,250 : 851,221 = 851,221 : x
  2. Step 2: Convert to fraction form
    390,250/851,221 = 851,221/x
  3. Step 3: Cross multiply
    390,250x = 851,221 × 851,221
  4. Step 4: Simplify right side
    390,250x = 724,577,190,841
  5. Step 5: Solve for x
    x = 724,577,190,841/390,250
  6. Step 6: Final answer
    x = 1,856,700.04

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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.