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Finding the Third Proportional to 172,957.50 and 403,983

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Solution

The third proportional to 172,957.50 and 403,983 is: 943,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,957.50 : 403,983 = 403,983 : x
  2. Step 2: Convert to fraction form
    172,957.50/403,983 = 403,983/x
  3. Step 3: Cross multiply
    172,957.50x = 403,983 × 403,983
  4. Step 4: Simplify right side
    172,957.50x = 163,202,264,289
  5. Step 5: Solve for x
    x = 163,202,264,289/172,957.50
  6. Step 6: Final answer
    x = 943,597.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.