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Finding the Third Proportional to 447,506 and 677,759

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Solution

The third proportional to 447,506 and 677,759 is: 1,026,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,506 : 677,759 = 677,759 : x
  2. Step 2: Convert to fraction form
    447,506/677,759 = 677,759/x
  3. Step 3: Cross multiply
    447,506x = 677,759 × 677,759
  4. Step 4: Simplify right side
    447,506x = 459,357,262,081
  5. Step 5: Solve for x
    x = 459,357,262,081/447,506
  6. Step 6: Final answer
    x = 1,026,482.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.