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Finding the Third Proportional to 210,478 and 320,970

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Solution

The third proportional to 210,478 and 320,970 is: 489,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478 : 320,970 = 320,970 : x
  2. Step 2: Convert to fraction form
    210,478/320,970 = 320,970/x
  3. Step 3: Cross multiply
    210,478x = 320,970 × 320,970
  4. Step 4: Simplify right side
    210,478x = 103,021,740,900
  5. Step 5: Solve for x
    x = 103,021,740,900/210,478
  6. Step 6: Final answer
    x = 489,465.60

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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.