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Finding the Third Proportional to 210,770 and 321,406.50

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Solution

The third proportional to 210,770 and 321,406.50 is: 490,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770 : 321,406.50 = 321,406.50 : x
  2. Step 2: Convert to fraction form
    210,770/321,406.50 = 321,406.50/x
  3. Step 3: Cross multiply
    210,770x = 321,406.50 × 321,406.50
  4. Step 4: Simplify right side
    210,770x = 103,302,138,242.25
  5. Step 5: Solve for x
    x = 103,302,138,242.25/210,770
  6. Step 6: Final answer
    x = 490,117.85

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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.