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Finding the Third Proportional to 425,288 and 920,560

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Solution

The third proportional to 425,288 and 920,560 is: 1,992,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,288 : 920,560 = 920,560 : x
  2. Step 2: Convert to fraction form
    425,288/920,560 = 920,560/x
  3. Step 3: Cross multiply
    425,288x = 920,560 × 920,560
  4. Step 4: Simplify right side
    425,288x = 847,430,713,600
  5. Step 5: Solve for x
    x = 847,430,713,600/425,288
  6. Step 6: Final answer
    x = 1,992,604.34

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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.