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Finding the Third Proportional to 319,356.75 and 500,977.13

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Solution

The third proportional to 319,356.75 and 500,977.13 is: 785,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,356.75 : 500,977.13 = 500,977.13 : x
  2. Step 2: Convert to fraction form
    319,356.75/500,977.13 = 500,977.13/x
  3. Step 3: Cross multiply
    319,356.75x = 500,977.13 × 500,977.13
  4. Step 4: Simplify right side
    319,356.75x = 250,978,079,773.27
  5. Step 5: Solve for x
    x = 250,978,079,773.27/319,356.75
  6. Step 6: Final answer
    x = 785,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.