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Finding the Third Proportional to 431,944.88 and 581,485.50

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Solution

The third proportional to 431,944.88 and 581,485.50 is: 782,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,944.88 : 581,485.50 = 581,485.50 : x
  2. Step 2: Convert to fraction form
    431,944.88/581,485.50 = 581,485.50/x
  3. Step 3: Cross multiply
    431,944.88x = 581,485.50 × 581,485.50
  4. Step 4: Simplify right side
    431,944.88x = 338,125,386,710.25
  5. Step 5: Solve for x
    x = 338,125,386,710.25/431,944.88
  6. Step 6: Final answer
    x = 782,797.54

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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.