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Finding the Third Proportional to 432,870 and 665,722

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Solution

The third proportional to 432,870 and 665,722 is: 1,023,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,870 : 665,722 = 665,722 : x
  2. Step 2: Convert to fraction form
    432,870/665,722 = 665,722/x
  3. Step 3: Cross multiply
    432,870x = 665,722 × 665,722
  4. Step 4: Simplify right side
    432,870x = 443,185,781,284
  5. Step 5: Solve for x
    x = 443,185,781,284/432,870
  6. Step 6: Final answer
    x = 1,023,831.13

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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.