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Finding the Third Proportional to 131,724 and 310,807

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Solution

The third proportional to 131,724 and 310,807 is: 733,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 310,807 = 310,807 : x
  2. Step 2: Convert to fraction form
    131,724/310,807 = 310,807/x
  3. Step 3: Cross multiply
    131,724x = 310,807 × 310,807
  4. Step 4: Simplify right side
    131,724x = 96,600,991,249
  5. Step 5: Solve for x
    x = 96,600,991,249/131,724
  6. Step 6: Final answer
    x = 733,359.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.