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Finding the Third Proportional to 310,980.75 and 476,299.13

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Solution

The third proportional to 310,980.75 and 476,299.13 is: 729,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,980.75 : 476,299.13 = 476,299.13 : x
  2. Step 2: Convert to fraction form
    310,980.75/476,299.13 = 476,299.13/x
  3. Step 3: Cross multiply
    310,980.75x = 476,299.13 × 476,299.13
  4. Step 4: Simplify right side
    310,980.75x = 226,860,856,475.77
  5. Step 5: Solve for x
    x = 226,860,856,475.77/310,980.75
  6. Step 6: Final answer
    x = 729,501.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.