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Finding the Third Proportional to 216,165 and 345,328.50

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Solution

The third proportional to 216,165 and 345,328.50 is: 551,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,165 : 345,328.50 = 345,328.50 : x
  2. Step 2: Convert to fraction form
    216,165/345,328.50 = 345,328.50/x
  3. Step 3: Cross multiply
    216,165x = 345,328.50 × 345,328.50
  4. Step 4: Simplify right side
    216,165x = 119,251,772,912.25
  5. Step 5: Solve for x
    x = 119,251,772,912.25/216,165
  6. Step 6: Final answer
    x = 551,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.