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Finding the Third Proportional to 319,357.50 and 500,978.25

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Solution

The third proportional to 319,357.50 and 500,978.25 is: 785,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,357.50 : 500,978.25 = 500,978.25 : x
  2. Step 2: Convert to fraction form
    319,357.50/500,978.25 = 500,978.25/x
  3. Step 3: Cross multiply
    319,357.50x = 500,978.25 × 500,978.25
  4. Step 4: Simplify right side
    319,357.50x = 250,979,206,973.06
  5. Step 5: Solve for x
    x = 250,979,206,973.06/319,357.50
  6. Step 6: Final answer
    x = 785,887.94

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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.