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Finding the Third Proportional to 447,498 and 677,746.50

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Solution

The third proportional to 447,498 and 677,746.50 is: 1,026,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,498 : 677,746.50 = 677,746.50 : x
  2. Step 2: Convert to fraction form
    447,498/677,746.50 = 677,746.50/x
  3. Step 3: Cross multiply
    447,498x = 677,746.50 × 677,746.50
  4. Step 4: Simplify right side
    447,498x = 459,340,318,262.25
  5. Step 5: Solve for x
    x = 459,340,318,262.25/447,498
  6. Step 6: Final answer
    x = 1,026,463.40

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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.