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Finding the Third Proportional to 210,475 and 320,965.50

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Solution

The third proportional to 210,475 and 320,965.50 is: 489,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,475 : 320,965.50 = 320,965.50 : x
  2. Step 2: Convert to fraction form
    210,475/320,965.50 = 320,965.50/x
  3. Step 3: Cross multiply
    210,475x = 320,965.50 × 320,965.50
  4. Step 4: Simplify right side
    210,475x = 103,018,852,190.25
  5. Step 5: Solve for x
    x = 103,018,852,190.25/210,475
  6. Step 6: Final answer
    x = 489,458.85

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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.