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Finding the Third Proportional to 134,824 and 290,000

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Solution

The third proportional to 134,824 and 290,000 is: 623,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,824 : 290,000 = 290,000 : x
  2. Step 2: Convert to fraction form
    134,824/290,000 = 290,000/x
  3. Step 3: Cross multiply
    134,824x = 290,000 × 290,000
  4. Step 4: Simplify right side
    134,824x = 84,100,000,000
  5. Step 5: Solve for x
    x = 84,100,000,000/134,824
  6. Step 6: Final answer
    x = 623,776.18

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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.