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Finding the Third Proportional to 971,924 and 2,120,721

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Solution

The third proportional to 971,924 and 2,120,721 is: 4,627,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,924 : 2,120,721 = 2,120,721 : x
  2. Step 2: Convert to fraction form
    971,924/2,120,721 = 2,120,721/x
  3. Step 3: Cross multiply
    971,924x = 2,120,721 × 2,120,721
  4. Step 4: Simplify right side
    971,924x = 4,497,457,559,841
  5. Step 5: Solve for x
    x = 4,497,457,559,841/971,924
  6. Step 6: Final answer
    x = 4,627,375.76

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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.