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Finding the Third Proportional to 195,440 and 310,644

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Solution

The third proportional to 195,440 and 310,644 is: 493,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,440 : 310,644 = 310,644 : x
  2. Step 2: Convert to fraction form
    195,440/310,644 = 310,644/x
  3. Step 3: Cross multiply
    195,440x = 310,644 × 310,644
  4. Step 4: Simplify right side
    195,440x = 96,499,694,736
  5. Step 5: Solve for x
    x = 96,499,694,736/195,440
  6. Step 6: Final answer
    x = 493,756.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.