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Finding the Third Proportional to 281,491.88 and 436,519.13

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Solution

The third proportional to 281,491.88 and 436,519.13 is: 676,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491.88 : 436,519.13 = 436,519.13 : x
  2. Step 2: Convert to fraction form
    281,491.88/436,519.13 = 436,519.13/x
  3. Step 3: Cross multiply
    281,491.88x = 436,519.13 × 436,519.13
  4. Step 4: Simplify right side
    281,491.88x = 190,548,946,490.77
  5. Step 5: Solve for x
    x = 190,548,946,490.77/281,491.88
  6. Step 6: Final answer
    x = 676,925.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.