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Finding the Third Proportional to 316,857.88 and 683,485.13

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Solution

The third proportional to 316,857.88 and 683,485.13 is: 1,474,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,857.88 : 683,485.13 = 683,485.13 : x
  2. Step 2: Convert to fraction form
    316,857.88/683,485.13 = 683,485.13/x
  3. Step 3: Cross multiply
    316,857.88x = 683,485.13 × 683,485.13
  4. Step 4: Simplify right side
    316,857.88x = 467,151,916,096.27
  5. Step 5: Solve for x
    x = 467,151,916,096.27/316,857.88
  6. Step 6: Final answer
    x = 1,474,326.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.