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Finding the Third Proportional to 427,311 and 676,640.25

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Solution

The third proportional to 427,311 and 676,640.25 is: 1,071,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,311 : 676,640.25 = 676,640.25 : x
  2. Step 2: Convert to fraction form
    427,311/676,640.25 = 676,640.25/x
  3. Step 3: Cross multiply
    427,311x = 676,640.25 × 676,640.25
  4. Step 4: Simplify right side
    427,311x = 457,842,027,920.06
  5. Step 5: Solve for x
    x = 457,842,027,920.06/427,311
  6. Step 6: Final answer
    x = 1,071,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.