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Finding the Third Proportional to 313,554.50 and 689,536

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Solution

The third proportional to 313,554.50 and 689,536 is: 1,516,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,554.50 : 689,536 = 689,536 : x
  2. Step 2: Convert to fraction form
    313,554.50/689,536 = 689,536/x
  3. Step 3: Cross multiply
    313,554.50x = 689,536 × 689,536
  4. Step 4: Simplify right side
    313,554.50x = 475,459,895,296
  5. Step 5: Solve for x
    x = 475,459,895,296/313,554.50
  6. Step 6: Final answer
    x = 1,516,354.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.