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Finding the Third Proportional to 201,118 and 320,130

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Solution

The third proportional to 201,118 and 320,130 is: 509,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118 : 320,130 = 320,130 : x
  2. Step 2: Convert to fraction form
    201,118/320,130 = 320,130/x
  3. Step 3: Cross multiply
    201,118x = 320,130 × 320,130
  4. Step 4: Simplify right side
    201,118x = 102,483,216,900
  5. Step 5: Solve for x
    x = 102,483,216,900/201,118
  6. Step 6: Final answer
    x = 509,567.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.