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Finding the Third Proportional to 328,016 and 489,492.50

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Solution

The third proportional to 328,016 and 489,492.50 is: 730,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,016 : 489,492.50 = 489,492.50 : x
  2. Step 2: Convert to fraction form
    328,016/489,492.50 = 489,492.50/x
  3. Step 3: Cross multiply
    328,016x = 489,492.50 × 489,492.50
  4. Step 4: Simplify right side
    328,016x = 239,602,907,556.25
  5. Step 5: Solve for x
    x = 239,602,907,556.25/328,016
  6. Step 6: Final answer
    x = 730,461.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.