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Finding the Third Proportional to 402,406 and 603,658

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Solution

The third proportional to 402,406 and 603,658 is: 905,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406 : 603,658 = 603,658 : x
  2. Step 2: Convert to fraction form
    402,406/603,658 = 603,658/x
  3. Step 3: Cross multiply
    402,406x = 603,658 × 603,658
  4. Step 4: Simplify right side
    402,406x = 364,402,980,964
  5. Step 5: Solve for x
    x = 364,402,980,964/402,406
  6. Step 6: Final answer
    x = 905,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.