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Finding the Third Proportional to 274,033 and 430,475

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Solution

The third proportional to 274,033 and 430,475 is: 676,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,033 : 430,475 = 430,475 : x
  2. Step 2: Convert to fraction form
    274,033/430,475 = 430,475/x
  3. Step 3: Cross multiply
    274,033x = 430,475 × 430,475
  4. Step 4: Simplify right side
    274,033x = 185,308,725,625
  5. Step 5: Solve for x
    x = 185,308,725,625/274,033
  6. Step 6: Final answer
    x = 676,227.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.