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Finding the Third Proportional to 316,765.69 and 689,299.88

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Solution

The third proportional to 316,765.69 and 689,299.88 is: 1,499,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,765.69 : 689,299.88 = 689,299.88 : x
  2. Step 2: Convert to fraction form
    316,765.69/689,299.88 = 689,299.88/x
  3. Step 3: Cross multiply
    316,765.69x = 689,299.88 × 689,299.88
  4. Step 4: Simplify right side
    316,765.69x = 475,134,317,675.02
  5. Step 5: Solve for x
    x = 475,134,317,675.02/316,765.69
  6. Step 6: Final answer
    x = 1,499,955.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.