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Finding the Third Proportional to 313,560 and 677,430

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Solution

The third proportional to 313,560 and 677,430 is: 1,463,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,560 : 677,430 = 677,430 : x
  2. Step 2: Convert to fraction form
    313,560/677,430 = 677,430/x
  3. Step 3: Cross multiply
    313,560x = 677,430 × 677,430
  4. Step 4: Simplify right side
    313,560x = 458,911,404,900
  5. Step 5: Solve for x
    x = 458,911,404,900/313,560
  6. Step 6: Final answer
    x = 1,463,552.13

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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.