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Finding the Third Proportional to 432,612 and 931,780

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Solution

The third proportional to 432,612 and 931,780 is: 2,006,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,612 : 931,780 = 931,780 : x
  2. Step 2: Convert to fraction form
    432,612/931,780 = 931,780/x
  3. Step 3: Cross multiply
    432,612x = 931,780 × 931,780
  4. Step 4: Simplify right side
    432,612x = 868,213,968,400
  5. Step 5: Solve for x
    x = 868,213,968,400/432,612
  6. Step 6: Final answer
    x = 2,006,911.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.