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Finding the Third Proportional to 313,398.75 and 676,672.50

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Solution

The third proportional to 313,398.75 and 676,672.50 is: 1,461,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,398.75 : 676,672.50 = 676,672.50 : x
  2. Step 2: Convert to fraction form
    313,398.75/676,672.50 = 676,672.50/x
  3. Step 3: Cross multiply
    313,398.75x = 676,672.50 × 676,672.50
  4. Step 4: Simplify right side
    313,398.75x = 457,885,672,256.25
  5. Step 5: Solve for x
    x = 457,885,672,256.25/313,398.75
  6. Step 6: Final answer
    x = 1,461,032.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.