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Finding the Third Proportional to 310,834 and 666,972

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Solution

The third proportional to 310,834 and 666,972 is: 1,431,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834 : 666,972 = 666,972 : x
  2. Step 2: Convert to fraction form
    310,834/666,972 = 666,972/x
  3. Step 3: Cross multiply
    310,834x = 666,972 × 666,972
  4. Step 4: Simplify right side
    310,834x = 444,851,648,784
  5. Step 5: Solve for x
    x = 444,851,648,784/310,834
  6. Step 6: Final answer
    x = 1,431,155.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.