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Finding the Third Proportional to 137,590 and 281,011

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Solution

The third proportional to 137,590 and 281,011 is: 573,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590 : 281,011 = 281,011 : x
  2. Step 2: Convert to fraction form
    137,590/281,011 = 281,011/x
  3. Step 3: Cross multiply
    137,590x = 281,011 × 281,011
  4. Step 4: Simplify right side
    137,590x = 78,967,182,121
  5. Step 5: Solve for x
    x = 78,967,182,121/137,590
  6. Step 6: Final answer
    x = 573,931.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.