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Finding the Third Proportional to 313,356 and 688,920

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Solution

The third proportional to 313,356 and 688,920 is: 1,514,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,356 : 688,920 = 688,920 : x
  2. Step 2: Convert to fraction form
    313,356/688,920 = 688,920/x
  3. Step 3: Cross multiply
    313,356x = 688,920 × 688,920
  4. Step 4: Simplify right side
    313,356x = 474,610,766,400
  5. Step 5: Solve for x
    x = 474,610,766,400/313,356
  6. Step 6: Final answer
    x = 1,514,605.64

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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.