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Finding the Third Proportional to 129,994.88 and 284,806.13

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Solution

The third proportional to 129,994.88 and 284,806.13 is: 623,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,994.88 : 284,806.13 = 284,806.13 : x
  2. Step 2: Convert to fraction form
    129,994.88/284,806.13 = 284,806.13/x
  3. Step 3: Cross multiply
    129,994.88x = 284,806.13 × 284,806.13
  4. Step 4: Simplify right side
    129,994.88x = 81,114,528,837.52
  5. Step 5: Solve for x
    x = 81,114,528,837.52/129,994.88
  6. Step 6: Final answer
    x = 623,982.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.