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Finding the Third Proportional to 210,187 and 320,140.50

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Solution

The third proportional to 210,187 and 320,140.50 is: 487,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,187 : 320,140.50 = 320,140.50 : x
  2. Step 2: Convert to fraction form
    210,187/320,140.50 = 320,140.50/x
  3. Step 3: Cross multiply
    210,187x = 320,140.50 × 320,140.50
  4. Step 4: Simplify right side
    210,187x = 102,489,939,740.25
  5. Step 5: Solve for x
    x = 102,489,939,740.25/210,187
  6. Step 6: Final answer
    x = 487,613.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.