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Finding the Third Proportional to 362,478.80 and 715,807.13

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Solution

The third proportional to 362,478.80 and 715,807.13 is: 1,413,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,478.80 : 715,807.13 = 715,807.13 : x
  2. Step 2: Convert to fraction form
    362,478.80/715,807.13 = 715,807.13/x
  3. Step 3: Cross multiply
    362,478.80x = 715,807.13 × 715,807.13
  4. Step 4: Simplify right side
    362,478.80x = 512,379,840,200.77
  5. Step 5: Solve for x
    x = 512,379,840,200.77/362,478.80
  6. Step 6: Final answer
    x = 1,413,544.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.