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Finding the Third Proportional to 448,492.50 and 713,198.25

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Solution

The third proportional to 448,492.50 and 713,198.25 is: 1,134,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,492.50 : 713,198.25 = 713,198.25 : x
  2. Step 2: Convert to fraction form
    448,492.50/713,198.25 = 713,198.25/x
  3. Step 3: Cross multiply
    448,492.50x = 713,198.25 × 713,198.25
  4. Step 4: Simplify right side
    448,492.50x = 508,651,743,803.06
  5. Step 5: Solve for x
    x = 508,651,743,803.06/448,492.50
  6. Step 6: Final answer
    x = 1,134,136.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.