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Finding the Third Proportional to 90,468 and 197,815.50

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Solution

The third proportional to 90,468 and 197,815.50 is: 432,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,468 : 197,815.50 = 197,815.50 : x
  2. Step 2: Convert to fraction form
    90,468/197,815.50 = 197,815.50/x
  3. Step 3: Cross multiply
    90,468x = 197,815.50 × 197,815.50
  4. Step 4: Simplify right side
    90,468x = 39,130,972,040.25
  5. Step 5: Solve for x
    x = 39,130,972,040.25/90,468
  6. Step 6: Final answer
    x = 432,539.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.