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Finding the Third Proportional to 685,720 and 1,497,921

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Solution

The third proportional to 685,720 and 1,497,921 is: 3,272,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,720 : 1,497,921 = 1,497,921 : x
  2. Step 2: Convert to fraction form
    685,720/1,497,921 = 1,497,921/x
  3. Step 3: Cross multiply
    685,720x = 1,497,921 × 1,497,921
  4. Step 4: Simplify right side
    685,720x = 2,243,767,322,241
  5. Step 5: Solve for x
    x = 2,243,767,322,241/685,720
  6. Step 6: Final answer
    x = 3,272,133.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.