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Finding the Third Proportional to 462,402 and 993,780

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Solution

The third proportional to 462,402 and 993,780 is: 2,135,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,402 : 993,780 = 993,780 : x
  2. Step 2: Convert to fraction form
    462,402/993,780 = 993,780/x
  3. Step 3: Cross multiply
    462,402x = 993,780 × 993,780
  4. Step 4: Simplify right side
    462,402x = 987,598,688,400
  5. Step 5: Solve for x
    x = 987,598,688,400/462,402
  6. Step 6: Final answer
    x = 2,135,801.07

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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.