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Finding the Third Proportional to 426,149.02 and 919,899.28

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Solution

The third proportional to 426,149.02 and 919,899.28 is: 1,985,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,149.02 : 919,899.28 = 919,899.28 : x
  2. Step 2: Convert to fraction form
    426,149.02/919,899.28 = 919,899.28/x
  3. Step 3: Cross multiply
    426,149.02x = 919,899.28 × 919,899.28
  4. Step 4: Simplify right side
    426,149.02x = 846,214,687,644.27
  5. Step 5: Solve for x
    x = 846,214,687,644.27/426,149.02
  6. Step 6: Final answer
    x = 1,985,724.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.