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Finding the Third Proportional to 1,257,103.55 and 1,991,907.07

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Solution

The third proportional to 1,257,103.55 and 1,991,907.07 is: 3,156,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,103.55 : 1,991,907.07 = 1,991,907.07 : x
  2. Step 2: Convert to fraction form
    1,257,103.55/1,991,907.07 = 1,991,907.07/x
  3. Step 3: Cross multiply
    1,257,103.55x = 1,991,907.07 × 1,991,907.07
  4. Step 4: Simplify right side
    1,257,103.55x = 3,967,693,776,760.93
  5. Step 5: Solve for x
    x = 3,967,693,776,760.93/1,257,103.55
  6. Step 6: Final answer
    x = 3,156,218.74

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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.