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Finding the Third Proportional to 402,308 and 851,272

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Solution

The third proportional to 402,308 and 851,272 is: 1,801,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,308 : 851,272 = 851,272 : x
  2. Step 2: Convert to fraction form
    402,308/851,272 = 851,272/x
  3. Step 3: Cross multiply
    402,308x = 851,272 × 851,272
  4. Step 4: Simplify right side
    402,308x = 724,664,017,984
  5. Step 5: Solve for x
    x = 724,664,017,984/402,308
  6. Step 6: Final answer
    x = 1,801,266.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.