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Finding the Third Proportional to 316,900.69 and 491,440.50

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Solution

The third proportional to 316,900.69 and 491,440.50 is: 762,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,900.69 : 491,440.50 = 491,440.50 : x
  2. Step 2: Convert to fraction form
    316,900.69/491,440.50 = 491,440.50/x
  3. Step 3: Cross multiply
    316,900.69x = 491,440.50 × 491,440.50
  4. Step 4: Simplify right side
    316,900.69x = 241,513,765,040.25
  5. Step 5: Solve for x
    x = 241,513,765,040.25/316,900.69
  6. Step 6: Final answer
    x = 762,111.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.