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Finding the Third Proportional to 185,640 and 289,548

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Solution

The third proportional to 185,640 and 289,548 is: 451,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640 : 289,548 = 289,548 : x
  2. Step 2: Convert to fraction form
    185,640/289,548 = 289,548/x
  3. Step 3: Cross multiply
    185,640x = 289,548 × 289,548
  4. Step 4: Simplify right side
    185,640x = 83,838,044,304
  5. Step 5: Solve for x
    x = 83,838,044,304/185,640
  6. Step 6: Final answer
    x = 451,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.