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Finding the Third Proportional to 310,047.75 and 664,382.25

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Solution

The third proportional to 310,047.75 and 664,382.25 is: 1,423,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047.75 : 664,382.25 = 664,382.25 : x
  2. Step 2: Convert to fraction form
    310,047.75/664,382.25 = 664,382.25/x
  3. Step 3: Cross multiply
    310,047.75x = 664,382.25 × 664,382.25
  4. Step 4: Simplify right side
    310,047.75x = 441,403,774,115.06
  5. Step 5: Solve for x
    x = 441,403,774,115.06/310,047.75
  6. Step 6: Final answer
    x = 1,423,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.