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Finding the Third Proportional to 320,466 and 489,173.50

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Solution

The third proportional to 320,466 and 489,173.50 is: 746,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,466 : 489,173.50 = 489,173.50 : x
  2. Step 2: Convert to fraction form
    320,466/489,173.50 = 489,173.50/x
  3. Step 3: Cross multiply
    320,466x = 489,173.50 × 489,173.50
  4. Step 4: Simplify right side
    320,466x = 239,290,713,102.25
  5. Step 5: Solve for x
    x = 239,290,713,102.25/320,466
  6. Step 6: Final answer
    x = 746,696.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.