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Finding the Third Proportional to 885,640 and 1,409,920

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Solution

The third proportional to 885,640 and 1,409,920 is: 2,244,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,640 : 1,409,920 = 1,409,920 : x
  2. Step 2: Convert to fraction form
    885,640/1,409,920 = 1,409,920/x
  3. Step 3: Cross multiply
    885,640x = 1,409,920 × 1,409,920
  4. Step 4: Simplify right side
    885,640x = 1,987,874,406,400
  5. Step 5: Solve for x
    x = 1,987,874,406,400/885,640
  6. Step 6: Final answer
    x = 2,244,562.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.