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Finding the Third Proportional to 450,591 and 697,455

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Solution

The third proportional to 450,591 and 697,455 is: 1,079,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,591 : 697,455 = 697,455 : x
  2. Step 2: Convert to fraction form
    450,591/697,455 = 697,455/x
  3. Step 3: Cross multiply
    450,591x = 697,455 × 697,455
  4. Step 4: Simplify right side
    450,591x = 486,443,477,025
  5. Step 5: Solve for x
    x = 486,443,477,025/450,591
  6. Step 6: Final answer
    x = 1,079,567.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.