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Finding the Third Proportional to 559,986 and 757,035

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Solution

The third proportional to 559,986 and 757,035 is: 1,023,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,986 : 757,035 = 757,035 : x
  2. Step 2: Convert to fraction form
    559,986/757,035 = 757,035/x
  3. Step 3: Cross multiply
    559,986x = 757,035 × 757,035
  4. Step 4: Simplify right side
    559,986x = 573,101,991,225
  5. Step 5: Solve for x
    x = 573,101,991,225/559,986
  6. Step 6: Final answer
    x = 1,023,422.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.