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Finding the Third Proportional to 315,712 and 693,632

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Solution

The third proportional to 315,712 and 693,632 is: 1,523,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,712 : 693,632 = 693,632 : x
  2. Step 2: Convert to fraction form
    315,712/693,632 = 693,632/x
  3. Step 3: Cross multiply
    315,712x = 693,632 × 693,632
  4. Step 4: Simplify right side
    315,712x = 481,125,351,424
  5. Step 5: Solve for x
    x = 481,125,351,424/315,712
  6. Step 6: Final answer
    x = 1,523,937.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.