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Finding the Third Proportional to 309,859.50 and 476,431.50

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Solution

The third proportional to 309,859.50 and 476,431.50 is: 732,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,859.50 : 476,431.50 = 476,431.50 : x
  2. Step 2: Convert to fraction form
    309,859.50/476,431.50 = 476,431.50/x
  3. Step 3: Cross multiply
    309,859.50x = 476,431.50 × 476,431.50
  4. Step 4: Simplify right side
    309,859.50x = 226,986,974,192.25
  5. Step 5: Solve for x
    x = 226,986,974,192.25/309,859.50
  6. Step 6: Final answer
    x = 732,548.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.