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Finding the Third Proportional to 445,826 and 684,291

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Solution

The third proportional to 445,826 and 684,291 is: 1,050,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,826 : 684,291 = 684,291 : x
  2. Step 2: Convert to fraction form
    445,826/684,291 = 684,291/x
  3. Step 3: Cross multiply
    445,826x = 684,291 × 684,291
  4. Step 4: Simplify right side
    445,826x = 468,254,172,681
  5. Step 5: Solve for x
    x = 468,254,172,681/445,826
  6. Step 6: Final answer
    x = 1,050,307.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.