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Finding the Third Proportional to 455,328 and 684,459

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Solution

The third proportional to 455,328 and 684,459 is: 1,028,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,328 : 684,459 = 684,459 : x
  2. Step 2: Convert to fraction form
    455,328/684,459 = 684,459/x
  3. Step 3: Cross multiply
    455,328x = 684,459 × 684,459
  4. Step 4: Simplify right side
    455,328x = 468,484,122,681
  5. Step 5: Solve for x
    x = 468,484,122,681/455,328
  6. Step 6: Final answer
    x = 1,028,893.73

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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.