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Finding the Third Proportional to 313,401.75 and 676,678.50

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Solution

The third proportional to 313,401.75 and 676,678.50 is: 1,461,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,401.75 : 676,678.50 = 676,678.50 : x
  2. Step 2: Convert to fraction form
    313,401.75/676,678.50 = 676,678.50/x
  3. Step 3: Cross multiply
    313,401.75x = 676,678.50 × 676,678.50
  4. Step 4: Simplify right side
    313,401.75x = 457,893,792,362.25
  5. Step 5: Solve for x
    x = 457,893,792,362.25/313,401.75
  6. Step 6: Final answer
    x = 1,461,044.15

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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.