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Finding the Third Proportional to 989,424 and 2,118,768

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Solution

The third proportional to 989,424 and 2,118,768 is: 4,537,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,424 : 2,118,768 = 2,118,768 : x
  2. Step 2: Convert to fraction form
    989,424/2,118,768 = 2,118,768/x
  3. Step 3: Cross multiply
    989,424x = 2,118,768 × 2,118,768
  4. Step 4: Simplify right side
    989,424x = 4,489,177,837,824
  5. Step 5: Solve for x
    x = 4,489,177,837,824/989,424
  6. Step 6: Final answer
    x = 4,537,162.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.