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Finding the Third Proportional to 310,975.88 and 653,285.25

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Solution

The third proportional to 310,975.88 and 653,285.25 is: 1,372,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975.88 : 653,285.25 = 653,285.25 : x
  2. Step 2: Convert to fraction form
    310,975.88/653,285.25 = 653,285.25/x
  3. Step 3: Cross multiply
    310,975.88x = 653,285.25 × 653,285.25
  4. Step 4: Simplify right side
    310,975.88x = 426,781,617,867.56
  5. Step 5: Solve for x
    x = 426,781,617,867.56/310,975.88
  6. Step 6: Final answer
    x = 1,372,394.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.