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Finding the Third Proportional to 432,871 and 665,723

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Solution

The third proportional to 432,871 and 665,723 is: 1,023,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,871 : 665,723 = 665,723 : x
  2. Step 2: Convert to fraction form
    432,871/665,723 = 665,723/x
  3. Step 3: Cross multiply
    432,871x = 665,723 × 665,723
  4. Step 4: Simplify right side
    432,871x = 443,187,112,729
  5. Step 5: Solve for x
    x = 443,187,112,729/432,871
  6. Step 6: Final answer
    x = 1,023,831.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.