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Finding the Third Proportional to 432,870 and 665,721

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Solution

The third proportional to 432,870 and 665,721 is: 1,023,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,870 : 665,721 = 665,721 : x
  2. Step 2: Convert to fraction form
    432,870/665,721 = 665,721/x
  3. Step 3: Cross multiply
    432,870x = 665,721 × 665,721
  4. Step 4: Simplify right side
    432,870x = 443,184,449,841
  5. Step 5: Solve for x
    x = 443,184,449,841/432,870
  6. Step 6: Final answer
    x = 1,023,828.05

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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.