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Finding the Third Proportional to 362,143.50 and 779,511

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Solution

The third proportional to 362,143.50 and 779,511 is: 1,677,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,143.50 : 779,511 = 779,511 : x
  2. Step 2: Convert to fraction form
    362,143.50/779,511 = 779,511/x
  3. Step 3: Cross multiply
    362,143.50x = 779,511 × 779,511
  4. Step 4: Simplify right side
    362,143.50x = 607,637,399,121
  5. Step 5: Solve for x
    x = 607,637,399,121/362,143.50
  6. Step 6: Final answer
    x = 1,677,891.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.