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Finding the Third Proportional to 199,570 and 428,664

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Solution

The third proportional to 199,570 and 428,664 is: 920,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570 : 428,664 = 428,664 : x
  2. Step 2: Convert to fraction form
    199,570/428,664 = 428,664/x
  3. Step 3: Cross multiply
    199,570x = 428,664 × 428,664
  4. Step 4: Simplify right side
    199,570x = 183,752,824,896
  5. Step 5: Solve for x
    x = 183,752,824,896/199,570
  6. Step 6: Final answer
    x = 920,743.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.