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Finding the Third Proportional to 432,770 and 934,660

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Solution

The third proportional to 432,770 and 934,660 is: 2,018,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,770 : 934,660 = 934,660 : x
  2. Step 2: Convert to fraction form
    432,770/934,660 = 934,660/x
  3. Step 3: Cross multiply
    432,770x = 934,660 × 934,660
  4. Step 4: Simplify right side
    432,770x = 873,589,315,600
  5. Step 5: Solve for x
    x = 873,589,315,600/432,770
  6. Step 6: Final answer
    x = 2,018,599.52

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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.