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Finding the Third Proportional to 645,770 and 886,467

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Solution

The third proportional to 645,770 and 886,467 is: 1,216,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,770 : 886,467 = 886,467 : x
  2. Step 2: Convert to fraction form
    645,770/886,467 = 886,467/x
  3. Step 3: Cross multiply
    645,770x = 886,467 × 886,467
  4. Step 4: Simplify right side
    645,770x = 785,823,742,089
  5. Step 5: Solve for x
    x = 785,823,742,089/645,770
  6. Step 6: Final answer
    x = 1,216,878.68

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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.