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Finding the Third Proportional to 466,102.50 and 705,455.25

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Solution

The third proportional to 466,102.50 and 705,455.25 is: 1,067,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,102.50 : 705,455.25 = 705,455.25 : x
  2. Step 2: Convert to fraction form
    466,102.50/705,455.25 = 705,455.25/x
  3. Step 3: Cross multiply
    466,102.50x = 705,455.25 × 705,455.25
  4. Step 4: Simplify right side
    466,102.50x = 497,667,109,752.56
  5. Step 5: Solve for x
    x = 497,667,109,752.56/466,102.50
  6. Step 6: Final answer
    x = 1,067,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.