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Finding the Third Proportional to 384,279 and 613,894.50

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Solution

The third proportional to 384,279 and 613,894.50 is: 980,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,279 : 613,894.50 = 613,894.50 : x
  2. Step 2: Convert to fraction form
    384,279/613,894.50 = 613,894.50/x
  3. Step 3: Cross multiply
    384,279x = 613,894.50 × 613,894.50
  4. Step 4: Simplify right side
    384,279x = 376,866,457,130.25
  5. Step 5: Solve for x
    x = 376,866,457,130.25/384,279
  6. Step 6: Final answer
    x = 980,710.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.