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Finding the Third Proportional to 305,329.50 and 471,830.06

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Solution

The third proportional to 305,329.50 and 471,830.06 is: 729,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,329.50 : 471,830.06 = 471,830.06 : x
  2. Step 2: Convert to fraction form
    305,329.50/471,830.06 = 471,830.06/x
  3. Step 3: Cross multiply
    305,329.50x = 471,830.06 × 471,830.06
  4. Step 4: Simplify right side
    305,329.50x = 222,623,607,878.75
  5. Step 5: Solve for x
    x = 222,623,607,878.75/305,329.50
  6. Step 6: Final answer
    x = 729,125.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.