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Finding the Third Proportional to 281,136 and 449,646

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Solution

The third proportional to 281,136 and 449,646 is: 719,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,136 : 449,646 = 449,646 : x
  2. Step 2: Convert to fraction form
    281,136/449,646 = 449,646/x
  3. Step 3: Cross multiply
    281,136x = 449,646 × 449,646
  4. Step 4: Simplify right side
    281,136x = 202,181,525,316
  5. Step 5: Solve for x
    x = 202,181,525,316/281,136
  6. Step 6: Final answer
    x = 719,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.