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Finding the Third Proportional to 462,783 and 699,105.50

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Solution

The third proportional to 462,783 and 699,105.50 is: 1,056,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783 : 699,105.50 = 699,105.50 : x
  2. Step 2: Convert to fraction form
    462,783/699,105.50 = 699,105.50/x
  3. Step 3: Cross multiply
    462,783x = 699,105.50 × 699,105.50
  4. Step 4: Simplify right side
    462,783x = 488,748,500,130.25
  5. Step 5: Solve for x
    x = 488,748,500,130.25/462,783
  6. Step 6: Final answer
    x = 1,056,107.29

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