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Finding the Third Proportional to 315,590 and 681,724

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Solution

The third proportional to 315,590 and 681,724 is: 1,472,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,590 : 681,724 = 681,724 : x
  2. Step 2: Convert to fraction form
    315,590/681,724 = 681,724/x
  3. Step 3: Cross multiply
    315,590x = 681,724 × 681,724
  4. Step 4: Simplify right side
    315,590x = 464,747,612,176
  5. Step 5: Solve for x
    x = 464,747,612,176/315,590
  6. Step 6: Final answer
    x = 1,472,630.98

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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.