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Finding the Third Proportional to 645,774 and 886,473

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Solution

The third proportional to 645,774 and 886,473 is: 1,216,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,774 : 886,473 = 886,473 : x
  2. Step 2: Convert to fraction form
    645,774/886,473 = 886,473/x
  3. Step 3: Cross multiply
    645,774x = 886,473 × 886,473
  4. Step 4: Simplify right side
    645,774x = 785,834,379,729
  5. Step 5: Solve for x
    x = 785,834,379,729/645,774
  6. Step 6: Final answer
    x = 1,216,887.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.