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Finding the Third Proportional to 520,027 and 798,963.50

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Solution

The third proportional to 520,027 and 798,963.50 is: 1,227,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,027 : 798,963.50 = 798,963.50 : x
  2. Step 2: Convert to fraction form
    520,027/798,963.50 = 798,963.50/x
  3. Step 3: Cross multiply
    520,027x = 798,963.50 × 798,963.50
  4. Step 4: Simplify right side
    520,027x = 638,342,674,332.25
  5. Step 5: Solve for x
    x = 638,342,674,332.25/520,027
  6. Step 6: Final answer
    x = 1,227,518.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.