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Finding the Third Proportional to 1,528,995 and 2,138,771.25

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Solution

The third proportional to 1,528,995 and 2,138,771.25 is: 2,991,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528,995 : 2,138,771.25 = 2,138,771.25 : x
  2. Step 2: Convert to fraction form
    1,528,995/2,138,771.25 = 2,138,771.25/x
  3. Step 3: Cross multiply
    1,528,995x = 2,138,771.25 × 2,138,771.25
  4. Step 4: Simplify right side
    1,528,995x = 4,574,342,459,826.56
  5. Step 5: Solve for x
    x = 4,574,342,459,826.56/1,528,995
  6. Step 6: Final answer
    x = 2,991,731.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.