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Finding the Third Proportional to 315,916 and 685,413

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Solution

The third proportional to 315,916 and 685,413 is: 1,487,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,916 : 685,413 = 685,413 : x
  2. Step 2: Convert to fraction form
    315,916/685,413 = 685,413/x
  3. Step 3: Cross multiply
    315,916x = 685,413 × 685,413
  4. Step 4: Simplify right side
    315,916x = 469,790,980,569
  5. Step 5: Solve for x
    x = 469,790,980,569/315,916
  6. Step 6: Final answer
    x = 1,487,075.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.