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Finding the Third Proportional to 898,021 and 1,421,723

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Solution

The third proportional to 898,021 and 1,421,723 is: 2,250,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,021 : 1,421,723 = 1,421,723 : x
  2. Step 2: Convert to fraction form
    898,021/1,421,723 = 1,421,723/x
  3. Step 3: Cross multiply
    898,021x = 1,421,723 × 1,421,723
  4. Step 4: Simplify right side
    898,021x = 2,021,296,288,729
  5. Step 5: Solve for x
    x = 2,021,296,288,729/898,021
  6. Step 6: Final answer
    x = 2,250,834.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.