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Finding the Third Proportional to 127,557 and 199,087.50

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Solution

The third proportional to 127,557 and 199,087.50 is: 310,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,557 : 199,087.50 = 199,087.50 : x
  2. Step 2: Convert to fraction form
    127,557/199,087.50 = 199,087.50/x
  3. Step 3: Cross multiply
    127,557x = 199,087.50 × 199,087.50
  4. Step 4: Simplify right side
    127,557x = 39,635,832,656.25
  5. Step 5: Solve for x
    x = 39,635,832,656.25/127,557
  6. Step 6: Final answer
    x = 310,730.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.